{
  "title": "Lines and Angles - Grade 7 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "What is the measure of a straight angle? 📐",
      "options": { "A": "90°", "B": "180°", "C": "360°", "D": "45°" },
      "correct_answer": "B"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "Two angles that add up to 90° are called: ➕",
      "options": {
        "A": "Supplementary",
        "B": "Complementary",
        "C": "Adjacent",
        "D": "Vertical"
      },
      "correct_answer": "B"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "An angle less than 90° is: 🔽",
      "options": { "A": "Acute", "B": "Obtuse", "C": "Right", "D": "Straight" },
      "correct_answer": "A"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "How many degrees are in a complete turn? 🔄",
      "options": { "A": "90°", "B": "180°", "C": "270°", "D": "360°" },
      "correct_answer": "D"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "Two lines that never meet are called: ↔️",
      "options": {
        "A": "Perpendicular",
        "B": "Parallel",
        "C": "Intersecting",
        "D": "Curved"
      },
      "correct_answer": "B"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "What type of angle is 150°? 📏",
      "options": { "A": "Acute", "B": "Right", "C": "Obtuse", "D": "Straight" },
      "correct_answer": "C"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Angles that share a common vertex and side are: 🤝",
      "options": {
        "A": "Vertical",
        "B": "Complementary",
        "C": "Adjacent",
        "D": "Supplementary"
      },
      "correct_answer": "C"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "The complement of 30° is: 🔢",
      "options": { "A": "30°", "B": "60°", "C": "150°", "D": "330°" },
      "correct_answer": "B"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "Two angles forming a linear pair are always: 📍",
      "options": {
        "A": "Complementary",
        "B": "Supplementary",
        "C": "Equal",
        "D": "Acute"
      },
      "correct_answer": "B"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "Vertically opposite angles are: ⚡",
      "options": {
        "A": "Always acute",
        "B": "Always equal",
        "C": "Always supplementary",
        "D": "Always complementary"
      },
      "correct_answer": "B"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "The supplement of 100° is: ➖",
      "options": { "A": "10°", "B": "80°", "C": "90°", "D": "260°" },
      "correct_answer": "B"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "A line that intersects two or more lines is called: ✂️",
      "options": {
        "A": "Parallel line",
        "B": "Transversal",
        "C": "Perpendicular",
        "D": "Bisector"
      },
      "correct_answer": "B"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "How many degrees in a right angle? ⬜",
      "options": { "A": "45°", "B": "90°", "C": "180°", "D": "360°" },
      "correct_answer": "B"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "The angle between the hands of a clock at 3:00 is: 🕒",
      "options": { "A": "45°", "B": "90°", "C": "180°", "D": "60°" },
      "correct_answer": "B"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "If two angles are supplementary and one is 70°, the other is: 🧮",
      "options": { "A": "20°", "B": "110°", "C": "30°", "D": "70°" },
      "correct_answer": "B"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "An angle between 180° and 360° is called: 🔄",
      "options": {
        "A": "Acute",
        "B": "Obtuse",
        "C": "Reflex",
        "D": "Straight"
      },
      "correct_answer": "C"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "The sum of angles around a point is: ⭕",
      "options": { "A": "90°", "B": "180°", "C": "270°", "D": "360°" },
      "correct_answer": "D"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "Which is NOT a pair of complementary angles? 🚫",
      "options": {
        "A": "30°, 60°",
        "B": "45°, 45°",
        "C": "20°, 70°",
        "D": "50°, 130°"
      },
      "correct_answer": "D"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "If ∠A = 35° and ∠B = 55°, they are: 🤝",
      "options": {
        "A": "Supplementary",
        "B": "Complementary",
        "C": "Vertical",
        "D": "Adjacent"
      },
      "correct_answer": "B"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "The angle between North and East is: 🧭",
      "options": { "A": "45°", "B": "90°", "C": "180°", "D": "270°" },
      "correct_answer": "B"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "If two lines intersect, how many pairs of vertical angles are formed? ✖️",
      "options": { "A": "1", "B": "2", "C": "3", "D": "4" },
      "correct_answer": "B"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "In the figure, if ∠1 = 60°, what is its vertically opposite angle? 🔺",
      "options": { "A": "30°", "B": "60°", "C": "120°", "D": "300°" },
      "correct_answer": "B"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "If an angle is twice its complement, find the angle. 🔍",
      "options": { "A": "30°", "B": "45°", "C": "60°", "D": "90°" },
      "correct_answer": "C"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "The supplement of an angle is three times its complement. Find the angle. 📊",
      "options": { "A": "30°", "B": "45°", "C": "60°", "D": "75°" },
      "correct_answer": "B"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "If two parallel lines are cut by a transversal, which angles are equal? ↔️",
      "options": {
        "A": "Corresponding angles",
        "B": "Alternate interior angles",
        "C": "Both A and B",
        "D": "Consecutive interior angles"
      },
      "correct_answer": "C"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "In the figure, if line l ∥ line m, and ∠a = 70°, find ∠b (corresponding angle). 📐",
      "options": { "A": "70°", "B": "110°", "C": "20°", "D": "90°" },
      "correct_answer": "A"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "Which pair are always supplementary when parallel lines are cut by a transversal? 🧩",
      "options": {
        "A": "Corresponding angles",
        "B": "Alternate interior angles",
        "C": "Consecutive interior angles",
        "D": "Vertical angles"
      },
      "correct_answer": "C"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "Find the angle which is equal to its complement. 🤔",
      "options": { "A": "30°", "B": "45°", "C": "60°", "D": "90°" },
      "correct_answer": "B"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "If ∠A and ∠B are supplementary and ∠A = 4∠B, find ∠A. 🔢",
      "options": { "A": "36°", "B": "144°", "C": "72°", "D": "108°" },
      "correct_answer": "B"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "In the figure, if AB ∥ CD and ∠1 = 65°, find ∠2 (alternate interior). 🔄",
      "options": { "A": "65°", "B": "115°", "C": "25°", "D": "295°" },
      "correct_answer": "A"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "Two angles are supplementary. If one is 20° more than the other, find the larger angle. 📏",
      "options": { "A": "80°", "B": "100°", "C": "70°", "D": "110°" },
      "correct_answer": "B"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "How many degrees are there in 3/4 of a straight angle? 🍕",
      "options": { "A": "90°", "B": "120°", "C": "135°", "D": "150°" },
      "correct_answer": "C"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "If the angles (2x+10)° and (3x-20)° are supplementary, find x. 🧮",
      "options": { "A": "30", "B": "38", "C": "42", "D": "50" },
      "correct_answer": "B"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "The difference between two supplementary angles is 40°. Find the angles. 📊",
      "options": {
        "A": "70°, 110°",
        "B": "60°, 120°",
        "C": "50°, 130°",
        "D": "80°, 100°"
      },
      "correct_answer": "A"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "In the figure, lines intersect. If ∠1 = 40°, ∠2 = 140°, are the lines perpendicular? ⚡",
      "options": {
        "A": "Yes",
        "B": "No",
        "C": "Cannot say",
        "D": "Only if ∠3 = 90°"
      },
      "correct_answer": "B"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "Find the reflex angle of 75°. 🔄",
      "options": { "A": "75°", "B": "105°", "C": "255°", "D": "285°" },
      "correct_answer": "D"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "If two adjacent angles are (x+25)° and (2x+5)° and form a linear pair, find x. 🎯",
      "options": { "A": "30", "B": "40", "C": "50", "D": "60" },
      "correct_answer": "C"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "An angle is 14° more than its complement. Find the angle. 🔍",
      "options": { "A": "38°", "B": "52°", "C": "76°", "D": "104°" },
      "correct_answer": "B"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "If the angles of a triangle are in ratio 1:2:3, find the smallest angle. 🔺",
      "options": { "A": "30°", "B": "45°", "C": "60°", "D": "90°" },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "How many pairs of adjacent angles are formed when two lines intersect? 🤝",
      "options": { "A": "2", "B": "4", "C": "6", "D": "8" },
      "correct_answer": "B"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "In the figure, if AB ∥ CD ∥ EF, and ∠ABC = 65°, ∠CEF = 40°, find ∠BCE. 🧠",
      "options": { "A": "75°", "B": "105°", "C": "115°", "D": "135°" },
      "correct_answer": "B"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "The supplement of an angle is one-third of its complement. Find the angle. 🎲",
      "options": {
        "A": "No solution",
        "B": "30°",
        "C": "45°",
        "D": "60°"
      },
      "correct_answer": "A"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "In the star figure, find the sum of angles a+b+c+d+e. ⭐",
      "options": { "A": "90°", "B": "180°", "C": "360°", "D": "540°" },
      "correct_answer": "B"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "If two lines are perpendicular to the same line, they are ______ to each other. ↔️",
      "options": {
        "A": "Perpendicular",
        "B": "Parallel",
        "C": "Intersecting",
        "D": "Skew"
      },
      "correct_answer": "B"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "The angles of a triangle are (x-20)°, (x+10)°, and (x/2)°. Find the largest angle. 📐",
      "options": { "A": "60°", "B": "70°", "C": "80°", "D": "90°" },
      "correct_answer": "C"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "In the figure with parallel lines, if ∠1:∠2 = 3:2, find ∠3 (corresponding to ∠1). 🔢",
      "options": { "A": "72°", "B": "108°", "C": "120°", "D": "144°" },
      "correct_answer": "B"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "The sum of two vertically opposite angles is 130°. Find each angle. ⚡",
      "options": { "A": "50°", "B": "65°", "C": "115°", "D": "130°" },
      "correct_answer": "B"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "If the complement of an angle is equal to the supplement of its thrice, find the angle. 🤯",
      "options": { "A": "30°", "B": "45°", "C": "60°", "D": "75°" },
      "correct_answer": "B"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "In a polygon, each interior angle is 150°. How many sides does it have? 📏",
      "options": { "A": "10", "B": "12", "C": "15", "D": "18" },
      "correct_answer": "B"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "Lines AB and CD intersect at O. If ∠AOC + ∠BOD = 250°, find ∠AOD. ⚠️",
      "options": { "A": "55°", "B": "65°", "C": "115°", "D": "125°" },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "The measures of two supplementary angles are in ratio 5:7. Find the measure of the smaller angle. 📊",
      "options": { "A": "50°", "B": "60°", "C": "75°", "D": "105°" },
      "correct_answer": "C"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is ______. 🎯",
      "options": {
        "A": "Equal",
        "B": "Complementary",
        "C": "Supplementary",
        "D": "Right angles"
      },
      "correct_answer": "C"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "In the figure, AB ∥ CD and EF is transversal. If ∠1 = (3x+20)° and ∠8 = (5x-30)° (corresponding), find x. 🔍",
      "options": { "A": "10", "B": "15", "C": "20", "D": "25" },
      "correct_answer": "D"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "An angle is 10° less than one-third of its supplement. Find the angle. 🧩",
      "options": {
        "A": "37.5°",
        "B": "40°",
        "C": "50°",
        "D": "60°"
      },
      "correct_answer": "A"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "The sum of two adjacent angles is 110° and their difference is 10°. Find the angles. ➕➖",
      "options": {
        "A": "50°, 60°",
        "B": "55°, 55°",
        "C": "60°, 50°",
        "D": "45°, 65°"
      },
      "correct_answer": "C"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "If two parallel lines are intersected by a transversal, then the bisectors of interior angles form a ______. ✂️",
      "options": {
        "A": "Square",
        "B": "Rhombus",
        "C": "Rectangle",
        "D": "Parallelogram"
      },
      "correct_answer": "C"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "In the figure, if l ∥ m and n is transversal, and ∠1 = 70°, find the sum of ∠4 + ∠6. 📐",
      "options": {
        "A": "70°",
        "B": "110°",
        "C": "180°",
        "D": "250°"
      },
      "correct_answer": "C"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "The supplement of an angle is 24° more than twice its complement. Find the angle. 🎲",
      "options": { "A": "24°", "B": "36°", "C": "48°", "D": "54°" },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "If the angles (5x-10)° and (3x+20)° form a linear pair, find the reflex angle of the larger angle. 🔄",
      "options": {
        "A": "200°",
        "B": "240°",
        "C": "263.75°",
        "D": "300°"
      },
      "correct_answer": "C"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "In a right triangle, one acute angle is twice the other. Find the smaller acute angle. 🔺",
      "options": { "A": "30°", "B": "45°", "C": "60°", "D": "15°" },
      "correct_answer": "A"
    }
  ]
}
