{
  "title": "Exterior Angle Theorem (Triangles) - Grade 7 CBSE",
  "total_questions": 150,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "An exterior angle of a triangle is formed by extending one:", "options": {"A": "Side", "B": "Angle", "C": "Vertex", "D": "Median"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "An exterior angle equals sum of:", "options": {"A": "All interior angles", "B": "Two interior opposite angles", "C": "Adjacent interior angle", "D": "Exterior angles"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "If interior angles are 40° and 60°, exterior angle = ?", "options": {"A": "80°", "B": "100°", "C": "120°", "D": "140°"}, "correct_answer": "B"},
    {"id": 4, "difficulty": "easy", "question": "Exterior angle is always _________ adjacent interior angle.", "options": {"A": "Less than", "B": "Equal to", "C": "Greater than", "D": "Half of"}, "correct_answer": "C"},
    {"id": 5, "difficulty": "easy", "question": "How many exterior angles does a triangle have?", "options": {"A": "1", "B": "2", "C": "3", "D": "6"}, "correct_answer": "D"},
    {"id": 6, "difficulty": "easy", "question": "If exterior angle = 120°, sum of interior opposite angles = ?", "options": {"A": "60°", "B": "120°", "C": "180°", "D": "240°"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "Sum of all exterior angles of triangle = ?", "options": {"A": "180°", "B": "360°", "C": "540°", "D": "720°"}, "correct_answer": "B"},
    {"id": 8, "difficulty": "easy", "question": "At each vertex, exterior angle + interior angle = ?", "options": {"A": "90°", "B": "180°", "C": "270°", "D": "360°"}, "correct_answer": "B"},
    {"id": 9, "difficulty": "easy", "question": "If interior angles are 50° and 70°, exterior angle = ?", "options": {"A": "110°", "B": "120°", "C": "130°", "D": "140°"}, "correct_answer": "B"},
    {"id": 10, "difficulty": "easy", "question": "Exterior angle theorem applies to:", "options": {"A": "All polygons", "B": "Triangles only", "C": "Quadrilaterals only", "D": "Regular polygons"}, "correct_answer": "B"},
    {"id": 11, "difficulty": "easy", "question": "If one interior angle = 45°, adjacent exterior angle = ?", "options": {"A": "45°", "B": "90°", "C": "135°", "D": "180°"}, "correct_answer": "C"},
    {"id": 12, "difficulty": "easy", "question": "An exterior angle is ________ to interior adjacent angle.", "options": {"A": "Supplementary", "B": "Complementary", "C": "Equal", "D": "Vertical"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "In equilateral triangle, each exterior angle = ?", "options": {"A": "60°", "B": "90°", "C": "120°", "D": "180°"}, "correct_answer": "C"},
    {"id": 14, "difficulty": "easy", "question": "If exterior angle = 130°, interior opposite angles could be:", "options": {"A": "50°, 80°", "B": "60°, 70°", "C": "40°, 90°", "D": "30°, 100°"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "For right triangle, exterior angle at right angle vertex = ?", "options": {"A": "90°", "B": "180°", "C": "270°", "D": "360°"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "If two interior opposite angles are equal, exterior angle is:", "options": {"A": "Twice each", "B": "Half of each", "C": "Equal to each", "D": "Sum of both"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "Exterior angle is always:", "options": {"A": "Acute", "B": "Obtuse", "C": "Right", "D": "Can be any"}, "correct_answer": "D"},
    {"id": 18, "difficulty": "easy", "question": "If interior opposite angles are 30° and 40°, exterior angle = ?", "options": {"A": "70°", "B": "110°", "C": "140°", "D": "150°"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "At each vertex, how many exterior angles can be drawn?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 20, "difficulty": "easy", "question": "For isosceles triangle with base angles 40°, exterior angle at vertex = ?", "options": {"A": "80°", "B": "100°", "C": "140°", "D": "160°"}, "correct_answer": "B"},
    {"id": 21, "difficulty": "medium", "question": "In ΔABC, ∠A = 50°, ∠B = 60°. Find exterior angle at C.", "options": {"A": "70°", "B": "110°", "C": "120°", "D": "130°"}, "correct_answer": "B"},
    {"id": 22, "difficulty": "medium", "question": "If exterior angle = 135° and one interior opposite angle = 45°, find other.", "options": {"A": "45°", "B": "90°", "C": "60°", "D": "75°"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "In ΔPQR, exterior angle at P = 110°. If ∠Q = 50°, find ∠R.", "options": {"A": "60°", "B": "70°", "C": "80°", "D": "90°"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "If exterior angle at vertex A = 120° and triangle is isosceles with AB = AC, find base angles.", "options": {"A": "30° each", "B": "40° each", "C": "50° each", "D": "60° each"}, "correct_answer": "D"},
    {"id": 25, "difficulty": "medium", "question": "In right triangle, exterior angle at hypotenuse vertex = 130°. Find acute angles.", "options": {"A": "40°, 50°", "B": "30°, 60°", "C": "35°, 55°", "D": "25°, 65°"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Exterior angle at A = 115°. If ∠B = 55°, find ∠C.", "options": {"A": "50°", "B": "60°", "C": "65°", "D": "70°"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "If two exterior angles are 110° and 120°, find third exterior angle.", "options": {"A": "130°", "B": "140°", "C": "150°", "D": "160°"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "In ΔABC, exterior angles at B and C are 130° and 140°. Find ∠A.", "options": {"A": "50°", "B": "60°", "C": "70°", "D": "80°"}, "correct_answer": "C"},
    {"id": 29, "difficulty": "medium", "question": "If exterior angle = 100° and triangle is isosceles, possible base angles are:", "options": {"A": "40°, 40°", "B": "50°, 50°", "C": "60°, 60°", "D": "70°, 70°"}, "correct_answer": "B"},
    {"id": 30, "difficulty": "medium", "question": "In ΔXYZ, ∠X = 2∠Y and exterior angle at Z = 120°. Find ∠X.", "options": {"A": "40°", "B": "60°", "C": "80°", "D": "100°"}, "correct_answer": "C"},
    {"id": 31, "difficulty": "medium", "question": "Exterior angle at A = 3x+10, interior opposite angles are x+20 and 2x+30. Find x.", "options": {"A": "10", "B": "15", "C": "20", "D": "25"}, "correct_answer": "C"},
    {"id": 32, "difficulty": "medium", "question": "If all exterior angles are equal, triangle is:", "options": {"A": "Equilateral", "B": "Isosceles", "C": "Right", "D": "Scalene"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "In ΔABC, exterior angle at A = 140°. If ∠B:∠C = 2:3, find ∠B.", "options": {"A": "40°", "B": "48°", "C": "56°", "D": "64°"}, "correct_answer": "C"},
    {"id": 34, "difficulty": "medium", "question": "Two exterior angles are 125° and 135°. Find third interior angle.", "options": {"A": "80°", "B": "90°", "C": "100°", "D": "110°"}, "correct_answer": "C"},
    {"id": 35, "difficulty": "medium", "question": "If exterior angle = 150° and one interior opposite angle is twice the other, find smaller.", "options": {"A": "30°", "B": "40°", "C": "50°", "D": "60°"}, "correct_answer": "C"},
    {"id": 36, "difficulty": "medium", "question": "In ΔPQR, ∠P = 70°. Exterior angle at Q = 130°. Find ∠R.", "options": {"A": "40°", "B": "50°", "C": "60°", "D": "70°"}, "correct_answer": "C"},
    {"id": 37, "difficulty": "medium", "question": "Sum of two exterior angles = 250°. Find third exterior angle.", "options": {"A": "110°", "B": "120°", "C": "130°", "D": "140°"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "If exterior angle = 140° and triangle is right, find acute angles.", "options": {"A": "40°, 50°", "B": "30°, 60°", "C": "35°, 55°", "D": "20°, 70°"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "In isosceles triangle, exterior angle at vertex = 100°. Find base angles.", "options": {"A": "40°", "B": "50°", "C": "60°", "D": "70°"}, "correct_answer": "B"},
    {"id": 40, "difficulty": "medium", "question": "If three exterior angles are in ratio 2:3:4, find smallest interior angle.", "options": {"A": "40°", "B": "50°", "C": "60°", "D": "70°"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "medium", "question": "In ΔABC, ∠A = 65°. Exterior angle at B = 135°. Find ∠C.", "options": {"A": "40°", "B": "50°", "C": "60°", "D": "70°"}, "correct_answer": "D"},
    {"id": 42, "difficulty": "medium", "question": "Exterior angle at vertex of isosceles triangle = 120°. If base = vertex angle, find vertex.", "options": {"A": "30°", "B": "40°", "C": "50°", "D": "60°"}, "correct_answer": "D"},
    {"id": 43, "difficulty": "medium", "question": "If exterior angle = 110° and interior opposite angles differ by 10°, find larger.", "options": {"A": "50°", "B": "60°", "C": "70°", "D": "80°"}, "correct_answer": "B"},
    {"id": 44, "difficulty": "medium", "question": "In ΔXYZ, exterior angles at X and Y are 110° and 120°. Find ∠Z.", "options": {"A": "50°", "B": "60°", "C": "70°", "D": "80°"}, "correct_answer": "C"},
    {"id": 45, "difficulty": "medium", "question": "Two exterior angles of triangle are 130° each. Find third exterior angle.", "options": {"A": "100°", "B": "110°", "C": "120°", "D": "130°"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "medium", "question": "In right triangle, exterior angle at right angle = 150°. Find other exterior angles.", "options": {"A": "90°, 120°", "B": "90°, 130°", "C": "90°, 140°", "D": "90°, 150°"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "medium", "question": "If exterior angle = 115° and one interior opposite angle is 15° more than other, find smaller.", "options": {"A": "40°", "B": "45°", "C": "50°", "D": "55°"}, "correct_answer": "C"},
    {"id": 48, "difficulty": "medium", "question": "Exterior angle at A = 140°. If ∠B = 2∠C, find ∠C.", "options": {"A": "40°", "B": "45°", "C": "50°", "D": "55°"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "medium", "question": "Sum of two exterior angles = 240°. Find third interior angle.", "options": {"A": "60°", "B": "70°", "C": "80°", "D": "90°"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "medium", "question": "In equilateral triangle, each exterior angle = ?", "options": {"A": "60°", "B": "90°", "C": "120°", "D": "180°"}, "correct_answer": "C"},
    {"id": 51, "difficulty": "medium", "question": "If exterior angle = 130° and triangle is isosceles with vertex angle 80°, find base angles.", "options": {"A": "50° each", "B": "60° each", "C": "65° each", "D": "70° each"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "medium", "question": "In ΔABC, exterior angle at C = 120°. If ∠A = 55°, find ∠B.", "options": {"A": "55°", "B": "60°", "C": "65°", "D": "70°"}, "correct_answer": "C"},
    {"id": 53, "difficulty": "medium", "question": "Two exterior angles are supplementary. Third exterior angle = ?", "options": {"A": "90°", "B": "120°", "C": "150°", "D": "180°"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "medium", "question": "If exterior angle = 140° and interior opposite angles ratio 3:4, find larger.", "options": {"A": "60°", "B": "70°", "C": "80°", "D": "90°"}, "correct_answer": "C"},
    {"id": 55, "difficulty": "medium", "question": "In ΔPQR, ∠P = 60°. Exterior angle at R = 110°. Find ∠Q.", "options": {"A": "30°", "B": "40°", "C": "50°", "D": "60°"}, "correct_answer": "C"},
    {"id": 56, "difficulty": "medium", "question": "Exterior angle at vertex of isosceles triangle = 130°. If base angles equal, find each.", "options": {"A": "50°", "B": "55°", "C": "60°", "D": "65°"}, "correct_answer": "D"},
    {"id": 57, "difficulty": "medium", "question": "Sum of exterior angles taken one at each vertex = ?", "options": {"A": "180°", "B": "360°", "C": "540°", "D": "720°"}, "correct_answer": "B"},
    {"id": 58, "difficulty": "medium", "question": "If exterior angle = 125° and one interior opposite angle = 45°, find triangle type.", "options": {"A": "Right", "B": "Acute", "C": "Obtuse", "D": "Equilateral"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "medium", "question": "In ΔABC, ∠A = 70°, exterior at B = 120°. Find ∠C.", "options": {"A": "40°", "B": "50°", "C": "60°", "D": "70°"}, "correct_answer": "B"},
    {"id": 60, "difficulty": "medium", "question": "If two exterior angles are 100° and 120°, find third interior angle.", "options": {"A": "60°", "B": "70°", "C": "80°", "D": "90°"}, "correct_answer": "C"},
    {"id": 61, "difficulty": "medium", "question": "Exterior angle at A = 3x, interior opposite angles are x+20 and x+40. Find x.", "options": {"A": "20", "B": "25", "C": "30", "D": "35"}, "correct_answer": "C"},
    {"id": 62, "difficulty": "medium", "question": "In right triangle, exterior angles at acute vertices are 130° and 140°. Find right angle.", "options": {"A": "80°", "B": "90°", "C": "100°", "D": "110°"}, "correct_answer": "B"},
    {"id": 63, "difficulty": "medium", "question": "If exterior angle = 150° and triangle is right, find acute angles.", "options": {"A": "30°, 60°", "B": "40°, 50°", "C": "20°, 70°", "D": "15°, 75°"}, "correct_answer": "A"},
    {"id": 64, "difficulty": "medium", "question": "Exterior angle at vertex of equilateral triangle = ?", "options": {"A": "60°", "B": "90°", "C": "120°", "D": "180°"}, "correct_answer": "C"},
    {"id": 65, "difficulty": "medium", "question": "In ΔXYZ, ∠X = 50°, exterior at Y = 110°. Find ∠Z.", "options": {"A": "40°", "B": "50°", "C": "60°", "D": "70°"}, "correct_answer": "C"},
    {"id": 66, "difficulty": "medium", "question": "If three exterior angles are 110°, 120°, 130°, find largest interior.", "options": {"A": "60°", "B": "70°", "C": "80°", "D": "90°"}, "correct_answer": "B"},
    {"id": 67, "difficulty": "medium", "question": "Exterior angle = 105°, interior opposite angles ratio 2:3. Find smaller.", "options": {"A": "36°", "B": "40°", "C": "42°", "D": "45°"}, "correct_answer": "C"},
    {"id": 68, "difficulty": "medium", "question": "In isosceles triangle, exterior at base = 140°. Find vertex angle.", "options": {"A": "40°", "B": "50°", "C": "60°", "D": "70°"}, "correct_answer": "A"},
    {"id": 69, "difficulty": "medium", "question": "Two exterior angles differ by 20°. If third exterior = 100°, find smallest interior.", "options": {"A": "40°", "B": "50°", "C": "60°", "D": "70°"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "Exterior angle at A = 120°. If ∠B = ∠C+20°, find ∠C.", "options": {"A": "40°", "B": "45°", "C": "50°", "D": "55°"}, "correct_answer": "C"},
    {"id": 71, "difficulty": "medium", "question": "In ΔABC, exterior at A = 130°, ∠B = 55°. Find ∠C.", "options": {"A": "65°", "B": "70°", "C": "75°", "D": "80°"}, "correct_answer": "C"},
    {"id": 72, "difficulty": "medium", "question": "If exterior angles are in ratio 1:2:3, find smallest interior.", "options": {"A": "30°", "B": "40°", "C": "50°", "D": "60°"}, "correct_answer": "D"},
    {"id": 73, "difficulty": "medium", "question": "Exterior angle = 115°, one interior opposite = 45°. Find triangle type.", "options": {"A": "Right", "B": "Acute", "C": "Obtuse", "D": "Equilateral"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "medium", "question": "In ΔPQR, ∠P = 40°, exterior at Q = 100°. Find ∠R.", "options": {"A": "40°", "B": "50°", "C": "60°", "D": "70°"}, "correct_answer": "C"},
    {"id": 75, "difficulty": "medium", "question": "If exterior angle = 135° and interior opposite angles equal, find each.", "options": {"A": "65.5°", "B": "67.5°", "C": "70°", "D": "72.5°"}, "correct_answer": "B"},
    {"id": 76, "difficulty": "medium", "question": "Sum of two exterior angles = 220°. Find third interior.", "options": {"A": "60°", "B": "70°", "C": "80°", "D": "90°"}, "correct_answer": "B"},
    {"id": 77, "difficulty": "medium", "question": "Exterior at vertex of isosceles triangle = 110°. If vertex = 40°, find base angles.", "options": {"A": "60° each", "B": "65° each", "C": "70° each", "D": "75° each"}, "correct_answer": "C"},
    {"id": 78, "difficulty": "medium", "question": "In ΔABC, ∠A = 65°, exterior at C = 125°. Find ∠B.", "options": {"A": "50°", "B": "55°", "C": "60°", "D": "65°"}, "correct_answer": "C"},
    {"id": 79, "difficulty": "medium", "question": "If exterior angles are 110°, 115°, 135°, find smallest interior.", "options": {"A": "40°", "B": "45°", "C": "50°", "D": "55°"}, "correct_answer": "B"},
    {"id": 80, "difficulty": "medium", "question": "Exterior angle = 140°, interior opposite angles differ by 30°. Find larger.", "options": {"A": "75°", "B": "80°", "C": "85°", "D": "90°"}, "correct_answer": "C"},
    {"id": 81, "difficulty": "hard", "question": "In ΔABC, exterior angle at A = 130°. If bisectors of ∠B and ∠C meet at O, find ∠BOC.", "options": {"A": "55°", "B": "65°", "C": "75°", "D": "85°"}, "correct_answer": "B"},
    {"id": 82, "difficulty": "hard", "question": "If exterior angles of triangle are (x+10)°, (2x+20)°, (3x+30)°, find largest interior angle.", "options": {"A": "70°", "B": "80°", "C": "90°", "D": "100°"}, "correct_answer": "B"},
    {"id": 83, "difficulty": "hard", "question": "In ΔABC, exterior angle at C = 120°. If AD ⟂ BC and D lies on BC, find ∠BAD if ∠B = 50°.", "options": {"A": "20°", "B": "30°", "C": "40°", "D": "50°"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "hard", "question": "If one exterior angle of triangle equals sum of other two exterior angles, triangle is:", "options": {"A": "Right", "B": "Acute", "C": "Obtuse", "D": "Equilateral"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "hard", "question": "In ΔPQR, exterior angle at Q = 135°. If PS is angle bisector of ∠P and ∠R = 55°, find ∠QPS.", "options": {"A": "25°", "B": "30°", "C": "35°", "D": "40°"}, "correct_answer": "D"},
    {"id": 86, "difficulty": "hard", "question": "If exterior angles are in AP with common difference 10°, find smallest interior.", "options": {"A": "40°", "B": "50°", "C": "60°", "D": "70°"}, "correct_answer": "B"},
    {"id": 87, "difficulty": "hard", "question": "In ΔABC, ∠A = 60°. Exterior angle at B = 110°. If AD is median, find ∠BAD.", "options": {"A": "20°", "B": "25°", "C": "30°", "D": "35°"}, "correct_answer": "D"},
    {"id": 88, "difficulty": "hard", "question": "Exterior angle at vertex of isosceles triangle = 150°. If base is twice vertex angle, find vertex.", "options": {"A": "30°", "B": "36°", "C": "40°", "D": "45°"}, "correct_answer": "B"},
    {"id": 89, "difficulty": "hard", "question": "In quadrilateral ABCD, ΔABC has exterior angle at C = 120°. If ∠A = 70°, ∠B = 60°, find exterior angle of quadrilateral at D.", "options": {"A": "100°", "B": "110°", "C": "120°", "D": "130°"}, "correct_answer": "D"},
    {"id": 90, "difficulty": "hard", "question": "If exterior angles are in ratio 4:5:6, find difference between largest and smallest interior.", "options": {"A": "20°", "B": "25°", "C": "30°", "D": "35°"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "In ΔABC, exterior angle at A = 140°. If I is incenter, find ∠BIC.", "options": {"A": "110°", "B": "120°", "C": "130°", "D": "140°"}, "correct_answer": "B"},
    {"id": 92, "difficulty": "hard", "question": "Exterior angles of triangle are (2x+5)°, (3x+10)°, (4x+15)°. Find value of x.", "options": {"A": "20", "B": "25", "C": "30", "D": "35"}, "correct_answer": "C"},
    {"id": 93, "difficulty": "hard", "question": "In ΔPQR, exterior angle at R = 130°. If altitude from P to QR meets QR at S, and ∠Q = 40°, find ∠RPS.", "options": {"A": "20°", "B": "25°", "C": "30°", "D": "35°"}, "correct_answer": "C"},
    {"id": 94, "difficulty": "hard", "question": "If one exterior angle is 120° and opposite interior angles are in ratio 3:5, find larger interior.", "options": {"A": "60°", "B": "65°", "C": "70°", "D": "75°"}, "correct_answer": "D"},
    {"id": 95, "difficulty": "hard", "question": "In ΔABC, ∠A = 55°. Exterior angle at C = 125°. If BE is angle bisector of ∠B, find ∠ABE.", "options": {"A": "25°", "B": "30°", "C": "35°", "D": "40°"}, "correct_answer": "B"},
    {"id": 96, "difficulty": "hard", "question": "Exterior angles at two vertices are 110° and 130°. If median to third side = 8 cm, find circumradius if triangle is right.", "options": {"A": "4 cm", "B": "5 cm", "C": "6 cm", "D": "8 cm"}, "correct_answer": "B"},
    {"id": 97, "difficulty": "hard", "question": "In ΔXYZ, exterior angle at Y = 140°. If ∠X = 50° and XZ is extended to W, find ∠YZW.", "options": {"A": "80°", "B": "90°", "C": "100°", "D": "110°"}, "correct_answer": "B"},
    {"id": 98, "difficulty": "hard", "question": "If sum of two exterior angles = 250° and third exterior angle is 30° more than smallest interior, find largest interior.", "options": {"A": "70°", "B": "80°", "C": "90°", "D": "100°"}, "correct_answer": "B"},
    {"id": 99, "difficulty": "hard", "question": "In ΔABC, exterior at B = 135°. If AD ⟂ BC and ∠C = 40°, find ∠DAC.", "options": {"A": "25°", "B": "30°", "C": "35°", "D": "40°"}, "correct_answer": "C"},
    {"id": 100, "difficulty": "hard", "question": "Exterior angles are (x+20)°, (2x-10)°, (3x-30)°. If triangle is right, find hypotenuse if one leg = 6 cm.", "options": {"A": "8 cm", "B": "10 cm", "C": "12 cm", "D": "15 cm"}, "correct_answer": "B"}
  ,
{"id":101,"difficulty":"easy","question":"An exterior angle is formed when a side of a triangle is extended in which direction?","options":{"A":"Inside","B":"Outward","C":"Upward","D":"Downward"},"correct_answer":"B"},
    {"id":102,"difficulty":"easy","question":"An exterior angle of a triangle is always equal to the sum of how many interior angles?","options":{"A":"One","B":"Two","C":"Three","D":"All"},"correct_answer":"B"},
    {"id":103,"difficulty":"easy","question":"Exterior angle and adjacent interior angle form a pair of:","options":{"A":"Complementary angles","B":"Vertical angles","C":"Supplementary angles","D":"Corresponding angles"},"correct_answer":"C"},
    {"id":104,"difficulty":"easy","question":"If an interior angle is 70°, its adjacent exterior angle is:","options":{"A":"70°","B":"90°","C":"110°","D":"180°"},"correct_answer":"C"},
    {"id":105,"difficulty":"easy","question":"Which triangle has each exterior angle equal to 120°?","options":{"A":"Right","B":"Isosceles","C":"Equilateral","D":"Scalene"},"correct_answer":"C"},
    {"id":106,"difficulty":"easy","question":"Exterior angles are measured outside the triangle at the:","options":{"A":"Midpoint","B":"Vertex","C":"Base","D":"Centroid"},"correct_answer":"B"},
    {"id":107,"difficulty":"easy","question":"Sum of one exterior angle and its interior adjacent angle is always:","options":{"A":"90°","B":"120°","C":"180°","D":"360°"},"correct_answer":"C"},
    {"id":108,"difficulty":"easy","question":"If an exterior angle is 95°, the interior adjacent angle is:","options":{"A":"85°","B":"95°","C":"75°","D":"65°"},"correct_answer":"A"},
    {"id":109,"difficulty":"easy","question":"An exterior angle can be:","options":{"A":"Only acute","B":"Only obtuse","C":"Only right","D":"Acute, right or obtuse"},"correct_answer":"D"},
    {"id":110,"difficulty":"easy","question":"Exterior angle theorem is valid for which figure?","options":{"A":"Circle","B":"Triangle","C":"Square","D":"Rectangle"},"correct_answer":"B"},
    {"id":111,"difficulty":"easy","question":"If exterior angle is 140°, sum of interior opposite angles is:","options":{"A":"40°","B":"70°","C":"140°","D":"220°"},"correct_answer":"C"},
    {"id":112,"difficulty":"easy","question":"At one vertex of a triangle, how many exterior angles can be formed?","options":{"A":"1","B":"2","C":"3","D":"4"},"correct_answer":"B"},
    {"id":113,"difficulty":"easy","question":"Which angle lies opposite an exterior angle?","options":{"A":"Adjacent interior","B":"Vertical","C":"Two interior angles","D":"Exterior angle"},"correct_answer":"C"},
    {"id":114,"difficulty":"easy","question":"Exterior angle of a right triangle at right angle is:","options":{"A":"45°","B":"90°","C":"180°","D":"270°"},"correct_answer":"B"},
    {"id":115,"difficulty":"easy","question":"If two opposite interior angles are 35° and 45°, exterior angle is:","options":{"A":"70°","B":"80°","C":"90°","D":"100°"},"correct_answer":"B"},

    {"id":116,"difficulty":"medium","question":"In ΔABC, ∠A = 45°, ∠B = 55°. Find exterior angle at C.","options":{"A":"80°","B":"90°","C":"100°","D":"110°"},"correct_answer":"C"},
    {"id":117,"difficulty":"medium","question":"If exterior angle is 125° and one opposite interior angle is 50°, find the other.","options":{"A":"65°","B":"70°","C":"75°","D":"80°"},"correct_answer":"A"},
    {"id":118,"difficulty":"medium","question":"Exterior angles of a triangle are equal. Triangle is:","options":{"A":"Scalene","B":"Isosceles","C":"Right","D":"Equilateral"},"correct_answer":"D"},
    {"id":119,"difficulty":"medium","question":"If two exterior angles are 120° and 110°, find the third exterior angle.","options":{"A":"110°","B":"120°","C":"130°","D":"140°"},"correct_answer":"C"},
    {"id":120,"difficulty":"medium","question":"Exterior angle at A = 140°. If ∠B = 60°, find ∠C.","options":{"A":"40°","B":"50°","C":"60°","D":"80°"},"correct_answer":"B"},
    {"id":121,"difficulty":"medium","question":"Sum of all exterior angles of a triangle taken one at each vertex is:","options":{"A":"180°","B":"270°","C":"360°","D":"540°"},"correct_answer":"C"},
    {"id":122,"difficulty":"medium","question":"If exterior angle = 150° and interior adjacent angle = ?, find interior adjacent.","options":{"A":"20°","B":"30°","C":"40°","D":"50°"},"correct_answer":"B"},
    {"id":123,"difficulty":"medium","question":"In ΔPQR, exterior angle at P = 130°. If ∠Q = 55°, find ∠R.","options":{"A":"65°","B":"70°","C":"75°","D":"80°"},"correct_answer":"A"},
    {"id":124,"difficulty":"medium","question":"Exterior angles of a triangle are in ratio 2:3:4. Find smallest exterior angle.","options":{"A":"60°","B":"72°","C":"80°","D":"90°"},"correct_answer":"B"},
    {"id":125,"difficulty":"medium","question":"If an exterior angle is equal to sum of two equal interior opposite angles, each interior angle is:","options":{"A":"30°","B":"45°","C":"60°","D":"75°"},"correct_answer":"C"},
    {"id":126,"difficulty":"medium","question":"In isosceles triangle, exterior angle at vertex is 100°. Find base angles.","options":{"A":"40° each","B":"50° each","C":"60° each","D":"70° each"},"correct_answer":"B"},
    {"id":127,"difficulty":"medium","question":"Exterior angle at A is 3x°, interior opposite angles are x° and 2x°. Find x.","options":{"A":"20","B":"25","C":"30","D":"35"},"correct_answer":"C"},
    {"id":128,"difficulty":"medium","question":"If exterior angle is 120°, triangle cannot be:","options":{"A":"Right","B":"Isosceles","C":"Equilateral","D":"Scalene"},"correct_answer":"C"},
    {"id":129,"difficulty":"medium","question":"In ΔABC, ∠A = 50°. Exterior angle at B = 130°. Find ∠C.","options":{"A":"30°","B":"40°","C":"50°","D":"60°"},"correct_answer":"B"},
    {"id":130,"difficulty":"medium","question":"Two exterior angles of triangle are equal to 110°. Find third exterior angle.","options":{"A":"120°","B":"130°","C":"140°","D":"150°"},"correct_answer":"B"},
    {"id":131,"difficulty":"medium","question":"If exterior angle is 95° and one opposite interior angle is 40°, other is:","options":{"A":"45°","B":"50°","C":"55°","D":"60°"},"correct_answer":"A"},
    {"id":132,"difficulty":"medium","question":"Exterior angle theorem helps in finding:","options":{"A":"Area","B":"Perimeter","C":"Unknown angles","D":"Side length"},"correct_answer":"C"},
    {"id":133,"difficulty":"medium","question":"If all exterior angles are obtuse, triangle is:","options":{"A":"Acute","B":"Right","C":"Obtuse","D":"Equilateral"},"correct_answer":"A"},
    {"id":134,"difficulty":"medium","question":"Exterior angle at A is 140°. If ∠B : ∠C = 3 : 4, find ∠C.","options":{"A":"60°","B":"70°","C":"80°","D":"90°"},"correct_answer":"B"},
    {"id":135,"difficulty":"medium","question":"If exterior angles are 120°, 130°, 110°, triangle is:","options":{"A":"Right","B":"Acute","C":"Obtuse","D":"Equilateral"},"correct_answer":"B"},
    {"id":136,"difficulty":"medium","question":"Exterior angle at A = 100°. Adjacent interior angle is:","options":{"A":"50°","B":"60°","C":"70°","D":"80°"},"correct_answer":"C"},
    {"id":137,"difficulty":"medium","question":"In ΔXYZ, exterior angle at Z = 125°. If ∠X = 50°, find ∠Y.","options":{"A":"60°","B":"65°","C":"70°","D":"75°"},"correct_answer":"B"},
    {"id":138,"difficulty":"medium","question":"If sum of two exterior angles is 240°, third exterior angle is:","options":{"A":"100°","B":"110°","C":"120°","D":"130°"},"correct_answer":"A"},
    {"id":139,"difficulty":"medium","question":"Exterior angle is always greater than:","options":{"A":"Adjacent interior angle","B":"Each opposite interior angle","C":"Sum of all angles","D":"Right angle"},"correct_answer":"B"},
    {"id":140,"difficulty":"medium","question":"If exterior angle is 135°, interior opposite angles differ by 15°. Find larger.","options":{"A":"60°","B":"65°","C":"70°","D":"75°"},"correct_answer":"C"},
    {"id":141,"difficulty":"medium","question":"Exterior angle at a vertex of equilateral triangle equals:","options":{"A":"60°","B":"90°","C":"120°","D":"180°"},"correct_answer":"C"},
    {"id":142,"difficulty":"medium","question":"In right triangle, exterior angle at acute vertex is always:","options":{"A":"< 90°","B":"= 90°","C":"> 90°","D":"= 180°"},"correct_answer":"C"},
    {"id":143,"difficulty":"medium","question":"If exterior angles are in ratio 1:2:3, smallest interior angle is:","options":{"A":"30°","B":"40°","C":"50°","D":"60°"},"correct_answer":"D"},
    {"id":144,"difficulty":"medium","question":"Exterior angle at A is 110°. If ∠B = ∠C, find each.","options":{"A":"45°","B":"50°","C":"55°","D":"60°"},"correct_answer":"C"},
    {"id":145,"difficulty":"medium","question":"Exterior angle at a vertex equals sum of:","options":{"A":"All interior angles","B":"Two opposite interior angles","C":"Adjacent interior angles","D":"Exterior angles"},"correct_answer":"B"},



    {"id":146,"difficulty":"hard","question":"Exterior angles of a triangle are (x+10)°, (2x+20)°, (3x+30)°. Find largest interior angle.","options":{"A":"70°","B":"80°","C":"90°","D":"100°"},"correct_answer":"B"},
    {"id":147,"difficulty":"hard","question":"In ΔABC, exterior angle at A = 130°. If incenter is I, find ∠BIC.","options":{"A":"60°","B":"70°","C":"80°","D":"90°"},"correct_answer":"B"},
    {"id":148,"difficulty":"hard","question":"If one exterior angle equals sum of other two exterior angles, triangle is:","options":{"A":"Acute","B":"Right","C":"Obtuse","D":"Equilateral"},"correct_answer":"B"},
    {"id":149,"difficulty":"hard","question":"Exterior angles are in AP with common difference 10°. Find smallest interior angle.","options":{"A":"40°","B":"50°","C":"60°","D":"70°"},"correct_answer":"B"},
    {"id":150,"difficulty":"hard","question":"In ΔABC, exterior angle at C = 140°. If altitude from A meets BC at D and ∠B = 50°, find ∠BAD.","options":{"A":"20°","B":"25°","C":"30°","D":"35°"},"correct_answer":"C"}






]
}