{
  "title": "Parallel Lines and Transversals (Geometry) - Grade 6 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "📏 Lines that never meet are called _____ lines. ↔️",
      "options": {
        "A": "Intersecting",
        "B": "Perpendicular",
        "C": "Parallel",
        "D": "Curved"
      },
      "correct_answer": "C"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "🔺 A line that cuts two or more lines is called a _____.",
      "options": {
        "A": "Parallel line",
        "B": "Transversal",
        "C": "Perpendicular",
        "D": "Bisector"
      },
      "correct_answer": "B"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "🎯 When a transversal cuts two parallel lines, corresponding angles are _____.",
      "options": {
        "A": "Equal",
        "B": "Complementary",
        "C": "Supplementary",
        "D": "Unequal"
      },
      "correct_answer": "A"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "📐 Angles on opposite sides of the transversal but inside parallel lines are called _____ angles.",
      "options": {
        "A": "Corresponding",
        "B": "Alternate interior",
        "C": "Alternate exterior",
        "D": "Vertically opposite"
      },
      "correct_answer": "B"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "🔺 Alternate interior angles are _____ when lines are parallel.",
      "options": {
        "A": "Equal",
        "B": "Supplementary",
        "C": "Complementary",
        "D": "Right angles"
      },
      "correct_answer": "A"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "📏 If two parallel lines are cut by a transversal, interior angles on same side are _____.",
      "options": {
        "A": "Equal",
        "B": "Supplementary",
        "C": "Complementary",
        "D": "Acute"
      },
      "correct_answer": "B"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "🎯 Angles that are in matching corners when a transversal crosses parallel lines are called _____ angles.",
      "options": {
        "A": "Alternate",
        "B": "Corresponding",
        "C": "Interior",
        "D": "Exterior"
      },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "📐 If ∠1 and ∠2 are corresponding angles and ∠1=70°, then ∠2=_____.",
      "options": { "A": "20°", "B": "70°", "C": "110°", "D": "180°" },
      "correct_answer": "B"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "🔺 Alternate exterior angles are _____ when lines are parallel.",
      "options": {
        "A": "Unequal",
        "B": "Equal",
        "C": "Supplementary",
        "D": "Complementary"
      },
      "correct_answer": "B"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "📏 If two lines are parallel, then corresponding angles are _____.",
      "options": {
        "A": "Always acute",
        "B": "Always equal",
        "C": "Always obtuse",
        "D": "Always supplementary"
      },
      "correct_answer": "B"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "🎯 Vertically opposite angles are always _____.",
      "options": {
        "A": "Equal",
        "B": "Supplementary",
        "C": "Complementary",
        "D": "Right angles"
      },
      "correct_answer": "A"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "📐 If alternate interior angles are equal, then the lines are _____.",
      "options": {
        "A": "Perpendicular",
        "B": "Parallel",
        "C": "Intersecting",
        "D": "Curved"
      },
      "correct_answer": "B"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "🔺 In the figure: ∠a=110°, find its corresponding angle. 📐",
      "options": { "A": "70°", "B": "110°", "C": "120°", "D": "180°" },
      "correct_answer": "B"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "📏 Co-interior angles sum to _____ degrees.",
      "options": { "A": "90", "B": "180", "C": "270", "D": "360" },
      "correct_answer": "B"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "🎯 If two lines are parallel, interior angles on same side are _____.",
      "options": {
        "A": "Equal",
        "B": "Supplementary",
        "C": "Complementary",
        "D": "Right"
      },
      "correct_answer": "B"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "📐 Which is NOT a pair when transversal cuts parallel lines?",
      "options": {
        "A": "Corresponding angles",
        "B": "Alternate angles",
        "C": "Adjacent angles",
        "D": "Co-interior angles"
      },
      "correct_answer": "C"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "🔺 If ∠1 and ∠2 are alternate interior angles and ∠1=60°, then ∠2=_____.",
      "options": { "A": "30°", "B": "60°", "C": "120°", "D": "180°" },
      "correct_answer": "B"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "📏 If two lines are parallel, alternate exterior angles are _____.",
      "options": {
        "A": "Supplementary",
        "B": "Equal",
        "C": "Complementary",
        "D": "Acute"
      },
      "correct_answer": "B"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "🎯 A transversal makes _____ angles with two parallel lines.",
      "options": { "A": "4", "B": "6", "C": "8", "D": "10" },
      "correct_answer": "C"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "📐 In parallel lines cut by transversal, if one angle is 80°, its co-interior angle is _____.",
      "options": { "A": "80°", "B": "100°", "C": "120°", "D": "180°" },
      "correct_answer": "B"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "🔺 If two parallel lines are cut by a transversal, each pair of corresponding angles are _____.",
      "options": {
        "A": "Equal",
        "B": "Complementary",
        "C": "Supplementary",
        "D": "Right"
      },
      "correct_answer": "A"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "📏 If a transversal intersects two lines such that a pair of alternate interior angles are equal, then lines are _____.",
      "options": {
        "A": "Perpendicular",
        "B": "Parallel",
        "C": "Intersecting",
        "D": "Skew"
      },
      "correct_answer": "B"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "🎯 In the figure, if ∠a=65°, find ∠b (alternate interior). 📐",
      "options": { "A": "25°", "B": "65°", "C": "115°", "D": "180°" },
      "correct_answer": "B"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "📐 If two lines are parallel and a transversal cuts them, then sum of interior angles on same side is _____.",
      "options": { "A": "90°", "B": "180°", "C": "270°", "D": "360°" },
      "correct_answer": "B"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "🔺 In the diagram, ∠1=110°. Find ∠2 (corresponding).",
      "options": { "A": "70°", "B": "110°", "C": "120°", "D": "180°" },
      "correct_answer": "B"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "📏 If ∠x and ∠y are co-interior angles and ∠x=75°, then ∠y=_____.",
      "options": { "A": "75°", "B": "105°", "C": "115°", "D": "180°" },
      "correct_answer": "B"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "🎯 Which angles are equal if lines are parallel? ✅",
      "options": {
        "A": "Co-interior",
        "B": "Alternate interior",
        "C": "Interior on same side",
        "D": "Adjacent"
      },
      "correct_answer": "B"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "📐 If ∠p and ∠q are alternate exterior angles and lines are parallel, then ∠p _____ ∠q.",
      "options": { "A": "=", "B": "+", "C": ">", "D": "<" },
      "correct_answer": "A"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "🔺 If a transversal is perpendicular to one of two parallel lines, it is _____ to the other.",
      "options": {
        "A": "Parallel",
        "B": "Perpendicular",
        "C": "Oblique",
        "D": "Equal"
      },
      "correct_answer": "B"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "📏 Find ∠a if co-interior angle is 130° and lines are parallel.",
      "options": { "A": "50°", "B": "60°", "C": "70°", "D": "80°" },
      "correct_answer": "A"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "🎯 If corresponding angles are not equal, then lines are _____.",
      "options": {
        "A": "Parallel",
        "B": "Not parallel",
        "C": "Perpendicular",
        "D": "Equal"
      },
      "correct_answer": "B"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "📐 In the diagram, if ∠1=120°, find its alternate exterior angle.",
      "options": { "A": "60°", "B": "120°", "C": "150°", "D": "180°" },
      "correct_answer": "B"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "🔺 Two lines cut by transversal, if co-interior angles are supplementary, lines are _____.",
      "options": {
        "A": "Parallel",
        "B": "Not parallel",
        "C": "Perpendicular",
        "D": "Intersecting"
      },
      "correct_answer": "A"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "📏 If ∠a=55° and lines are parallel, find corresponding angle ∠b.",
      "options": { "A": "35°", "B": "55°", "C": "125°", "D": "180°" },
      "correct_answer": "B"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "🎯 If two lines are parallel, then alternate interior angles are _____.",
      "options": {
        "A": "Supplementary",
        "B": "Complementary",
        "C": "Equal",
        "D": "Right"
      },
      "correct_answer": "C"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "📐 In the figure, if ∠3=70°, find ∠6 (alternate interior).",
      "options": { "A": "20°", "B": "70°", "C": "110°", "D": "180°" },
      "correct_answer": "B"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "🔺 If ∠1 and ∠2 are interior angles on same side and ∠1=100°, then ∠2=_____.",
      "options": { "A": "80°", "B": "100°", "C": "120°", "D": "180°" },
      "correct_answer": "A"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "📏 Which pair sums to 180° if lines are parallel?",
      "options": {
        "A": "Corresponding",
        "B": "Alternate interior",
        "C": "Co-interior",
        "D": "Vertically opposite"
      },
      "correct_answer": "C"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "🎯 If two lines are parallel and transversal cuts them, how many angles of same measure are there?",
      "options": { "A": "2", "B": "4", "C": "6", "D": "8" },
      "correct_answer": "B"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "📐 If ∠x=115° and it's an interior angle on same side, other interior angle is _____.",
      "options": { "A": "65°", "B": "115°", "C": "125°", "D": "180°" },
      "correct_answer": "A"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "🔺 In the diagram, lines l || m, transversal t. If ∠1=3x+20 and ∠5=2x+50 (corresponding), find x.",
      "options": { "A": "10", "B": "20", "C": "30", "D": "40" },
      "correct_answer": "C"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "📏 Two parallel lines cut by transversal, one interior angle is (4x-10)° and other interior on same side is (3x+20)°. Find x.",
      "options": {
        "A": "10",
        "B": "20",
        "C": "24.3",
        "D": "30"
      },
      "correct_answer": "C"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "🎯 If alternate interior angles are (2y+30)° and (4y-20)°, find y.",
      "options": { "A": "10", "B": "15", "C": "20", "D": "25" },
      "correct_answer": "D"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "📐 Lines a || b, transversal c. If one angle is 5x and its corresponding angle is 3x+40, find x.",
      "options": { "A": "10", "B": "15", "C": "20", "D": "25" },
      "correct_answer": "C"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "🔺 In figure, l || m, ∠1=(7x-10)°, ∠8=(5x+30)° (alternate exterior). Find ∠1.",
      "options": { "A": "60°", "B": "110°", "C": "120°", "D": "130°" },
      "correct_answer": "D"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "📏 Two interior angles on same side are (6x+10)° and (4x+30)°. If lines are parallel, find x.",
      "options": { "A": "10", "B": "14", "C": "20", "D": "25" },
      "correct_answer": "B"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "🎯 If ∠A and ∠B are co-interior, ∠A= (2/3)∠B, and lines are parallel, find ∠B.",
      "options": { "A": "72°", "B": "90°", "C": "108°", "D": "120°" },
      "correct_answer": "C"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "📐 In diagram, if ∠2=4x-50 and ∠6=x+40 (alternate interior), are lines parallel? If yes, find x.",
      "options": {
        "A": "Yes, x=30",
        "B": "Yes, x=40",
        "C": "No",
        "D": "Yes, x=50"
      },
      "correct_answer": "A"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "🔺 ∠P and ∠Q are corresponding angles. ∠P=5x-20, ∠Q=3x+40. Lines parallel? If yes, find x.",
      "options": {
        "A": "Yes, x=30",
        "B": "Yes, x=40",
        "C": "No",
        "D": "Yes, x=50"
      },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "📏 Two lines cut by transversal, if one interior angle is 3 times its co-interior angle, find the smaller angle.",
      "options": { "A": "30°", "B": "45°", "C": "60°", "D": "75°" },
      "correct_answer": "B"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "🎯 If alternate exterior angles are (x+50)° and (3x-20)°, find x.",
      "options": { "A": "25", "B": "35", "C": "45", "D": "55" },
      "correct_answer": "B"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "📐 In figure, ∠1=(8x-40)°, ∠5=(6x+20)° (corresponding). Lines parallel? Find ∠1.",
      "options": {
        "A": "Yes, 120°",
        "B": "Yes, 140°",
        "C": "Yes, 200°",
        "D": "No"
      },
      "correct_answer": "C"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "🔺 If one angle of a pair of corresponding angles is 30° less than twice the other, find both angles.",
      "options": {
        "A": "30°, 30°",
        "B": "60°, 60°",
        "C": "70°, 110°",
        "D": "50°, 130°"
      },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "📏 Lines l || m, transversal t. If ∠3=2x+15, ∠5=3x-25 (alternate interior), find x.",
      "options": { "A": "30", "B": "40", "C": "50", "D": "60" },
      "correct_answer": "B"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "🎯 Two parallel lines, transversal makes one interior angle 25° more than other interior on same side. Find smaller.",
      "options": { "A": "65.5°", "B": "72.5°", "C": "77.5°", "D": "82.5°" },
      "correct_answer": "C"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "📐 ∠A and ∠B are co-interior, ∠A : ∠B = 5 : 7. Find ∠A if lines are parallel.",
      "options": { "A": "50°", "B": "60°", "C": "75°", "D": "105°" },
      "correct_answer": "C"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "🔺 In figure, l || m, ∠2= (2y+20)°, ∠4= (4y-40)° (alternate interior). Find y.",
      "options": { "A": "20", "B": "30", "C": "40", "D": "50" },
      "correct_answer": "B"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "📏 If one corresponding angle is 20° more than its alternate interior angle, find the angle.",
      "options": {
        "A": "No such angle",
        "B": "80°",
        "C": "100°",
        "D": "120°"
      },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "🎯 Two lines cut by transversal, if sum of two interior angles on same side is 215°, are lines parallel?",
      "options": {
        "A": "Yes",
        "B": "No",
        "C": "Cannot say",
        "D": "Only if perpendicular"
      },
      "correct_answer": "B"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "📐 In parallel lines, difference between two alternate exterior angles is 40°. Find the larger angle.",
      "options": {
        "A": "No such angle",
        "B": "100°",
        "C": "120°",
        "D": "140°"
      },
      "correct_answer": "A"
    }
  ]
}