{
"title": "Angle_sum_property(Understanding_Quadrilaterals) - Grade 8 ICSE",
"total_questions": 60,
"questions": [
{"id": 1, "difficulty": "easy", "question": "What is the sum of interior angles of a quadrilateral? 🔲", "options": {"A": "180°", "B": "270°", "C": "360°", "D": "90°"}, "correct_answer": "C"},
{"id": 2, "difficulty": "easy", "question": "The sum of angles in a triangle is? 📐", "options": {"A": "90°", "B": "180°", "C": "360°", "D": "270°"}, "correct_answer": "B"},
{"id": 3, "difficulty": "easy", "question": "If three angles of a quadrilateral are 70°, 80°, and 100°, what is the fourth angle? 🔢", "options": {"A": "100°", "B": "110°", "C": "120°", "D": "130°"}, "correct_answer": "B"},
{"id": 4, "difficulty": "easy", "question": "A quadrilateral with all angles equal. Each angle is? ⬜", "options": {"A": "60°", "B": "90°", "C": "120°", "D": "180°"}, "correct_answer": "B"},
{"id": 5, "difficulty": "easy", "question": "What is the sum of interior angles of a pentagon? ⭐", "options": {"A": "360°", "B": "540°", "C": "720°", "D": "900°"}, "correct_answer": "B"},
{"id": 6, "difficulty": "easy", "question": "In a quadrilateral, if ∠A=60°, ∠B=70°, ∠C=110°, then ∠D=? 🧮", "options": {"A": "100°", "B": "110°", "C": "120°", "D": "130°"}, "correct_answer": "C"},
{"id": 7, "difficulty": "easy", "question": "How many triangles are formed by drawing one diagonal in a quadrilateral? 🔺", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
{"id": 8, "difficulty": "easy", "question": "A parallelogram has angles 75° and 105°. The other two angles are? 🔄", "options": {"A": "75° and 105°", "B": "90° each", "C": "60° and 120°", "D": "80° and 100°"}, "correct_answer": "A"},
{"id": 9, "difficulty": "easy", "question": "What is each angle of a rectangle? 📏", "options": {"A": "60°", "B": "90°", "C": "120°", "D": "180°"}, "correct_answer": "B"},
{"id": 10, "difficulty": "easy", "question": "If one angle of a parallelogram is 65°, its adjacent angle is? 🔗", "options": {"A": "65°", "B": "115°", "C": "25°", "D": "90°"}, "correct_answer": "B"},
{"id": 11, "difficulty": "easy", "question": "Sum of angles in a hexagon? 🔶", "options": {"A": "540°", "B": "720°", "C": "900°", "D": "1080°"}, "correct_answer": "B"},
{"id": 12, "difficulty": "easy", "question": "In a rhombus, if one angle is 60°, the opposite angle is? ♦️", "options": {"A": "30°", "B": "60°", "C": "120°", "D": "90°"}, "correct_answer": "B"},
{"id": 13, "difficulty": "easy", "question": "A square has all angles equal to? ⬛", "options": {"A": "60°", "B": "90°", "C": "120°", "D": "180°"}, "correct_answer": "B"},
{"id": 14, "difficulty": "easy", "question": "The sum of interior angles of any polygon with n sides is? 📝", "options": {"A": "(n-2)×180°", "B": "n×180°", "C": "(n-2)×90°", "D": "360°"}, "correct_answer": "A"},
{"id": 15, "difficulty": "easy", "question": "In a trapezium, the sum of adjacent angles on non-parallel sides is? 📐", "options": {"A": "90°", "B": "180°", "C": "360°", "D": "270°"}, "correct_answer": "B"},
{"id": 16, "difficulty": "easy", "question": "If one angle of a cyclic quadrilateral is 70°, its opposite angle is? 🔁", "options": {"A": "70°", "B": "110°", "C": "20°", "D": "180°"}, "correct_answer": "B"},
{"id": 17, "difficulty": "easy", "question": "How many degrees in three right angles? ⬜", "options": {"A": "180°", "B": "270°", "C": "360°", "D": "90°"}, "correct_answer": "B"},
{"id": 18, "difficulty": "easy", "question": "In quadrilateral PQRS, ∠P=80°, ∠Q=95°, ∠R=105°, ∠S=? ❓", "options": {"A": "70°", "B": "80°", "C": "85°", "D": "90°"}, "correct_answer": "B"},
{"id": 19, "difficulty": "easy", "question": "A kite has one angle 120°. The opposite angle is 60°. What is sum of other two angles? 🪁", "options": {"A": "180°", "B": "120°", "C": "240°", "D": "360°"}, "correct_answer": "A"},
{"id": 20, "difficulty": "easy", "question": "What is the exterior angle of a regular pentagon? 🔶", "options": {"A": "60°", "B": "72°", "C": "108°", "D": "120°"}, "correct_answer": "B"},
{"id": 21, "difficulty": "medium", "question": "In a quadrilateral, angles are in ratio 1:2:3:4. Largest angle is? 📊", "options": {"A": "144°", "B": "120°", "C": "108°", "D": "96°"}, "correct_answer": "A"},
{"id": 22, "difficulty": "medium", "question": "If each interior angle of a polygon is 135°, how many sides? 🔢", "options": {"A": "6", "B": "8", "C": "10", "D": "12"}, "correct_answer": "B"},
{"id": 23, "difficulty": "medium", "question": "Three angles of a quadrilateral are 2x, 3x, 4x. Fourth angle is 60°. Find x. 🧩", "options": {"A": "20", "B": "30", "C": "40", "D": "50"}, "correct_answer": "C"},
{"id": 24, "difficulty": "medium", "question": "The sum of interior angles of a polygon is 720°. Number of sides? 🔺", "options": {"A": "4", "B": "5", "C": "6", "D": "7"}, "correct_answer": "C"},
{"id": 25, "difficulty": "medium", "question": "In parallelogram, one angle is 4 times its adjacent. Smaller angle is? 🔄", "options": {"A": "30°", "B": "36°", "C": "45°", "D": "60°"}, "correct_answer": "B"},
{"id": 26, "difficulty": "medium", "question": "Exterior angle of a regular polygon is 40°. How many sides? 🔶", "options": {"A": "6", "B": "9", "C": "12", "D": "15"}, "correct_answer": "B"},
{"id": 27, "difficulty": "medium", "question": "In quadrilateral, ∠A=∠B=70°, ∠C=130°. Find ∠D. 📐", "options": {"A": "80°", "B": "90°", "C": "100°", "D": "110°"}, "correct_answer": "B"},
{"id": 28, "difficulty": "medium", "question": "A polygon's interior angles sum is 5 times its exterior angles sum. Sides? 🧠", "options": {"A": "10", "B": "12", "C": "14", "D": "16"}, "correct_answer": "B"},
{"id": 29, "difficulty": "medium", "question": "If angles of quadrilateral are (x+10), (x+20), (x+30), (x+40), find smallest angle. 🔍", "options": {"A": "60°", "B": "65°", "C": "70°", "D": "75°"}, "correct_answer": "B"},
{"id": 30, "difficulty": "medium", "question": "In rhombus, diagonals bisect at 90°. If one diagonal angle is 50°, adjacent vertex angle? 💎", "options": {"A": "40°", "B": "50°", "C": "80°", "D": "100°"}, "correct_answer": "C"},
{"id": 31, "difficulty": "medium", "question": "Number of sides of polygon where each exterior angle is 24°? ⏰", "options": {"A": "12", "B": "15", "C": "18", "D": "20"}, "correct_answer": "B"},
{"id": 32, "difficulty": "medium", "question": "Two adjacent angles of parallelogram are (3x-10)° and (2x+30)°. Find x. ➗", "options": {"A": "20", "B": "32", "C": "40", "D": "50"}, "correct_answer": "B"},
{"id": 33, "difficulty": "medium", "question": "In trapezium, angles on same leg sum to 180°. If one is 75°, other is? 📏", "options": {"A": "75°", "B": "95°", "C": "105°", "D": "115°"}, "correct_answer": "C"},
{"id": 34, "difficulty": "medium", "question": "If each interior angle of polygon is 150°, exterior angle is? 🔄", "options": {"A": "20°", "B": "30°", "C": "40°", "D": "50°"}, "correct_answer": "B"},
{"id": 35, "difficulty": "medium", "question": "A pentagon has angles 100°, 110°, 120°, 130°. Fifth angle? 🔺", "options": {"A": "80°", "B": "90°", "C": "100°", "D": "110°"}, "correct_answer": "A"},
{"id": 36, "difficulty": "medium", "question": "Sum of exterior angles of any polygon is? 🌐", "options": {"A": "180°", "B": "360°", "C": "540°", "D": "720°"}, "correct_answer": "B"},
{"id": 37, "difficulty": "medium", "question": "Quadrilateral angles ratio 3:5:7:9. Difference between largest & smallest? 📈", "options": {"A": "72°", "B": "90°", "C": "108°", "D": "120°"}, "correct_answer": "B"},
{"id": 38, "difficulty": "medium", "question": "In parallelogram, opposite angles are (2x+30)° and (3x-10)°. Find angles. 🔄", "options": {"A": "70°,110°", "B": "80°,100°", "C": "90°,90°", "D": "60°,120°"}, "correct_answer": "B"},
{"id": 39, "difficulty": "medium", "question": "A polygon has 15 sides. Sum of interior angles? 🔢", "options": {"A": "2340°", "B": "2520°", "C": "2700°", "D": "2880°"}, "correct_answer": "A"},
{"id": 40, "difficulty": "medium", "question": "Three angles of quadrilateral are equal. Fourth is 90°. Each equal angle? 🔳", "options": {"A": "70°", "B": "80°", "C": "90°", "D": "100°"}, "correct_answer": "C"},
{"id": 41, "difficulty": "hard", "question": "In convex polygon, sum of interior angles is 1800°. Sides? 🧩", "options": {"A": "10", "B": "12", "C": "14", "D": "16"}, "correct_answer": "B"},
{"id": 42, "difficulty": "hard", "question": "Each interior angle of regular polygon exceeds exterior by 132°. Sides? ⭐", "options": {"A": "12", "B": "15", "C": "18", "D": "20"}, "correct_answer": "B"},
{"id": 43, "difficulty": "hard", "question": "In quadrilateral ABCD, ∠A:∠B:∠C:∠D = 4:6:5:3. Find ∠B - ∠D. ➖", "options": {"A": "30°", "B": "40°", "C": "50°", "D": "60°"}, "correct_answer": "D"},
{"id": 44, "difficulty": "hard", "question": "A polygon's interior sum is 1440°. How many diagonals? 🔺", "options": {"A": "35", "B": "42", "C": "48", "D": "54"}, "correct_answer": "A"},
{"id": 45, "difficulty": "hard", "question": "In parallelogram, bisectors of adjacent angles intersect at 90°. Find angles. 🔍", "options": {"A": "60°,120°", "B": "70°,110°", "C": "80°,100°", "D": "90°,90°"}, "correct_answer": "D"},
{"id": 46, "difficulty": "hard", "question": "If each interior angle of regular polygon is 8 times exterior angle, find sides. 🔢", "options": {"A": "16", "B": "18", "C": "20", "D": "22"}, "correct_answer": "B"},
{"id": 47, "difficulty": "hard", "question": "Quadrilateral angles are (x-10)°, x°, (x+20)°, (x+30)°. Value of x? 🎯", "options": {"A": "75", "B": "80", "C": "85", "D": "90"}, "correct_answer": "B"},
{"id": 48, "difficulty": "hard", "question": "Number of sides if ratio of interior to exterior angle is 7:2? ⚖️", "options": {"A": "7", "B": "9", "C": "11", "D": "13"}, "correct_answer": "B"},
{"id": 49, "difficulty": "hard", "question": "Sum of two opposite angles of cyclic quadrilateral is 180°. If one is 85°, other? 🔁", "options": {"A": "85°", "B": "95°", "C": "105°", "D": "115°"}, "correct_answer": "B"},
{"id": 50, "difficulty": "hard", "question": "In hexagon, five angles are 130° each. Sixth angle? 🔶", "options": {"A": "110°", "B": "120°", "C": "130°", "D": "140°"}, "correct_answer": "A"},
{"id": 51, "difficulty": "hard", "question": "In quadrilateral, angles A,B,C are 75°, 85°, 115°. Angle D's supplement is? 🔄", "options": {"A": "95°", "B": "105°", "C": "115°", "D": "125°"}, "correct_answer": "C"},
{"id": 52, "difficulty": "hard", "question": "Polygon has 20 sides. Sum of interior angles of polygon with 25 sides more is? 📐", "options": {"A": "2700°", "B": "3060°", "C": "3420°", "D": "3780°"}, "correct_answer": "D"},
{"id": 53, "difficulty": "hard", "question": "In trapezium, one base angle is twice the other. Smaller angle? 📏", "options": {"A": "40°", "B": "50°", "C": "60°", "D": "70°"}, "correct_answer": "C"},
{"id": 54, "difficulty": "hard", "question": "Regular polygon interior angle is 156°. Number of sides? 🔺", "options": {"A": "12", "B": "15", "C": "18", "D": "20"}, "correct_answer": "B"},
{"id": 55, "difficulty": "hard", "question": "Quadrilateral with angles (3x+5)°, (4x-5)°, (2x+15)°, (3x-15)° has largest angle? 📊", "options": {"A": "105°", "B": "115°", "C": "125°", "D": "135°"}, "correct_answer": "C"},
{"id": 56, "difficulty": "hard", "question": "Difference between interior angles of two regular polygons is 5°. Their sides differ by 1. Find sides. 🔢", "options": {"A": "8 & 9", "B": "9 & 10", "C": "10 & 11", "D": "12 & 13"}, "correct_answer": "B"},
{"id": 57, "difficulty": "hard", "question": "In parallelogram, one angle is 30° less than twice adjacent. Find angles. 🧮", "options": {"A": "50°,130°", "B": "60°,120°", "C": "70°,110°", "D": "80°,100°"}, "correct_answer": "C"},
{"id": 58, "difficulty": "hard", "question": "Exterior angle of regular polygon is 1/7 of interior angle. Sides? ⚡", "options": {"A": "12", "B": "14", "C": "16", "D": "18"}, "correct_answer": "C"},
{"id": 59, "difficulty": "hard", "question": "A polygon's interior sum is thrice its exterior sum. Sides? 🔄", "options": {"A": "6", "B": "8", "C": "10", "D": "12"}, "correct_answer": "B"},
{"id": 60, "difficulty": "hard", "question": "In quadrilateral, if three angles in ratio 2:3:4 and fourth is 90°, smallest angle? 🔍", "options": {"A": "30°", "B": "40°", "C": "50°", "D": "60°"}, "correct_answer": "D"}
]
}