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Lines and Angles Class 7 Maths MCQs Pdf
1. When the sum of the measures of two angles is 90°, the angles are called
(а) supplementary angles
(b) complementary angles
(c) adjacent angles
(d) vertically opposite angles
Answer/Explanation
Answer: (b)
Explanation : Definition of complementary angles
2. The sum of the measures of two complementary angles is
(a) 180°
(b) 60°
(c) 45°
(d) 90°
Answer/Explanation
Answer: (d)
Explanation : Definition of complementary angles
3. The measure of the complement of the angle 30° is
(а) 30°
(b) 16°
(c) 60°
(d) 160°
Answer/Explanation
Answer: (c)
Explanation : 90° – 30° = 60°.
4. Which of the following statements is true?
(a) Two acute angles can be complementary to each other
(b) Two obtuse angles can be complementary to each other
(c) Two right angles can be complementary to each other
(d) One obtuse angle and one acute angle can be complementary to each other
Answer
Answer: (a)
5. The measure of the complement of the angle 46° is
(a) 90°
(b) 46°
(c) 16°
(d) 136°
Answer/Explanation
Answer: (b)
Explanation : 90°- 45° = 45°.
6. What is the measure of the complement of the angle 80°?
(a) 10°
(b) 100°
(c) 36°
(d) 20°
Answer/Explanation
Answer: (a)
Explanation : 90° – 80° = 10°.
7. Which pair of the following angles are complementary?
Answer/Explanation
Answer: (a)
Explanation : 60°+ 30° = 90°.
8. The measure of the angle which is equal to its complement is
(a) 30°
(b)60°
(c) 46°
(d) 90°
Answer/Explanation
Answer: (c)
Explanation : x° + x° = 90° ⇒ x° = 45°.
9. Which of the following pairs of angles is not a pair of complementary angles?
(a) 60°, 30°
(b) 66°, 34°
(c) 0°, 90°
(d) 160°, 30°
Answer/Explanation
Answer: (d)
Explanation : 150° + 30° = 180° ≠ 90°.
10. What is the measure of the complement of the angle 90°?
(а) 90°
(b) 0°
(c) 180°
(d) 46°
Answer/Explanation
Answer: (b)
Explanation : 90° – 90° = 0°.
11. When the sum of the measures of two angles is 180°, the angles are called
(a) adjacent angles
(b) complementary angles
(c) vertically opposite angles
(d) supplementary angles
Answer/Explanation
Answer: (d)
Explanation : Definition of supplementary angles.
12. The sum of the measures of two supplementary angles is
(a) 90°
(b) 180°
(c) 360°
(d) none of these
Answer/Explanation
Answer: (b)
Explanation : Definition of supplementary angles.
13. The measure of the supplement of the angle 120° is
(a) 30°
(b)45°
(c) 60°
(d) 90°
Answer/Explanation
Answer: (c)
Explanation : 180° – 120° = 60°.
14. Which of the following statements is true?
(a) Two acute angles can be supplementary.
(b) Two right angles can be supplementary.
(c) Two obtuse angles can be supplementary.
(d) One obtuse angle and one acute angle cannot be supplementary
Answer
Answer: (b)
15. The measure of the supplement of the angle 90° is
(a) 45°
(b) 60°
(c) 30°
(d) 90°
Answer/Explanation
Answer: (d)
Explanation : 180° – 90° = 90°.
16. The measure of the angle which is equal to its supplement is
(a) 30°
(b) 45°
(c) 90°
(d) 60°
Answer/Explanation
Answer: (c)
Explanation : x° + x° = 180° ⇒ x° = 90°.
17. Which of the following pairs of angles is not a pair of supplementary angles?
(a) 90°, 90°
(b) 32°, 58°
(c) 0°, 180°
(d) 76°, 104°
Answer/Explanation
Answer: (b)
Explanation : 32° + 58° = 90° ≠ 180°.
18. What is the measure of the supplement of the angle 0°?
(a) 45°
(b) 90°
(c) 120°
(d) 180°
Answer/Explanation
Answer: (d)
Explanation : 180° – 0° = 180°.
19. Which pair of the following angles are not supplementary?
Answer/Explanation
Answer: (d)
Explanation : 120° + 90° = 210° ≠ 180°.
20. The measure of the supplement of the angle 179° is
(a) 1°
(b) 2°
(c) 3°
(d) 4°
Answer/Explanation
Answer: (a)
Explanation : 180° – 179° – 1°.
21. Which of the following statements is true?
(a) Two adjacent angles can be complementary.
(b) Two adjacent angles cannot be supplementary
(c) An acute angle cannot be adjacent to an obtuse angles.
(d) Two right angles cannot be adjacent angles
Answer
Answer: (a)
22. The angles in a linear pair are
(a) complementary
(b) supplementary
(c) not adjacent angles
(d) vertically opposite angles
Answer/Explanation
Answer: (b)
Explanation : Definition of a linear pair of angles.
23. Which of the following statements is true?
(a) Two acute angles can form a linear pair.
(b) Two obtuse angles can form a linear pair
(c) Two right angles can form a linear pair
(d) One obtuse angle and one acute angle cannot form a linear pair
Answer/Explanation
Answer: (d)
Explanation :
24. Which of the following pairs of angles form a linear pair?
Answer/Explanation
Answer: (a)
Explanation : 120° + 60° = 180°.
25. The sum of the measures of the angles in a linear pair is
(a) 90°
(b) 180°
(c) 360°
(d) none of these
Answer/Explanation
Answer: (b)
Explanation : Definition of a linear pair of angles.
26. Which of the following statements is false?
(a) Two vertically opposite angles can be acute
(b) Two vertically opposite angles can be obtuse
(c) Two vertically opposite angles can be right angles
(d) Two vertically opposite angles may be unequal
Answer/Explanation
Answer: (d)
Explanation :
27. Which of the following statements is false?
(a) When a transversal cuts two parallel lines, each pair of corresponding angles are equal.
(b) When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.
(c) When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.
(d) A transversal cuts two parallel lines in three points
Answer/Explanation
Answer: (d)
Explanation :
28. In the following figure, ∠ AOB and ∠ BOC are
(a) complementary angles
(b) supplementary angles
(c) adjacent angles
(d) none of these
Answer/Explanation
Answer: (d)
Explanation :
29. In the following figure, reflex ∠ AOB is equal to
(a) 60°
(b) 120°
(c) 300°
(d) 360°
Answer/Explanation
Answer: (c)
Explanation : ∠ AOB = 360° – 60° = 300°.
30. Which of the following statements is false?
(a) When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel.
(b) When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines have to be parallel.
(c) When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are supplementary, then the lines have to be parallel.
(d) When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are complementary, then the lines have to be parallel
Answer/Explanation
Answer: (d)
Explanation :
31. In the following figure, two straight lines AB and CD are intersecting each other at the point 0 and the angles thus formed at 0 are marked, then the value of ∠x – ∠y is
(a) 56°
(b) 118°
(c) 62°
(d) 180°
Answer/Explanation
Answer: (a)
Explanation : ∠x – ∠y = (180° – 62°) – 62° = 118°- 62° = 56°.
32. In the following figure, tell which pair of angles are not corresponding angles?
(a) ∠1, ∠ 5
(b) ∠ 2, ∠ 6
(c) ∠ 3, ∠ 7
(d) ∠ 3, ∠ 5
Answer/Explanation
Answer: (d)
Explanation : ∠ 3, ∠ 5 are alternate interior angles.
33. See the figure of Q. 32 above. Which pair of angles are alternate interior angles?
(a) ∠ 1, ∠ 5
(b) ∠ 2, ∠ 6
(c) ∠ 3, ∠ 7
(d) ∠ 3, ∠ 5
Answer/Explanation
Answer: (d)
Explanation : Definition of alternate interior angles.
34. In the following figure, a transversal cuts two parallel lines l and m at points G and H respectively and the angles thus formed are marked. If ∠ 1 is an acute angle, then, which of the following statements is false?
(а) ∠ 1 + ∠ 2 = 180°
(b) ∠ 2 + ∠ 5 = 180°
(c) ∠ 3 + ∠ 8 = 180°
(d) ∠ 2 + ∠ 6 = 180°
Answer/Explanation
Answer: (d)
Explanation : ∠ 2 = ∠ 6, corresponding angles.
35. In the following figure, a transversal c intersects two parallel lines a and b at A and B respectively and the angles formed at A and B are marked. Tell which of the following pairs of angles need not be equal?
(a) ∠ 1, ∠ 2
(b) ∠1, ∠ 3
(c) ∠ 1, ∠ 5
(d) ∠ 2, ∠ 8
Answer/Explanation
Answer: (a)
Explanation : ∠ 1, ∠ 2 simply make a linear pair.
36. Which of the following pairs of angles are not adjacent angles?
Answer/Explanation
Answer: (d)
Explanation :
37. Find the measure of the angle which is double of its complementary angle?
(a) 60°
(b) 30°
(c) 45°
(d) 120°
Answer/Explanation
Answer: (a)
Explanation : x° = 2(90° – x°) ⇒ x° = 60°.
38. Find the measure of the angle which is half of its supplementary angle?
(a) 60°
(b) 120°
(c) 90°
(d) 45°
Answer/Explanation
Answer: (da)
Explanation : x° = \(\frac { 1 }{ 2 } \)(180° – x°) ⇒ x° = 60°.
39. In the following figure, if ∠ 1 + ∠ 3 = 120°, then ∠ 2 + ∠ 4 is equal to
(a) 60°
(b) 120°
(c) 240°
(d) 80°
Answer/Explanation
Answer: (c)
Explanation : ∠ 2 + ∠ 4 = 360°- (∠ 1 + ∠ 3) = 360°- 120° = 240°
40. In the following figure, if ∠ 1 + ∠ 2 = 100°, then the measure of ∠ 4 is equal to
(a) 50°
(b) 100°
(c) 80°
(d) 130°
Answer/Explanation
Answer: (d)
Explanation :
∠1 = ∠2; ∠1 + ∠2 = 100°
∴ ∠ 1 = 50°
∴ ∠ 4 = 180° – 50° = 130°.
41. In the following figure, ∠1 + ∠2 + ∠3 = 230°, then the measure of ∠4 is equal to
(a) 130°
(b) 80°
(c) 65°
(d) 90°
Answer/Explanation
Answer: (a)
Explanation : ∠ 4 = 360° – 230° = 130°.
42. In the following figure EF || GH. Then, the measure of ∠x is equal to
(a) 30°
(b) 45°
(c) 60°
(d) 40°
Answer/Explanation
Answer: (a)
Explanation : (x + 30°) + 120° = 180° ⇒ x = 30°.
43. In the following figure, l || m. Find the measure of ∠ x.
(a) 60°
(b) 45°
(c) 30°
(d) none of these
Answer/Explanation
Answer: (a)
Explanation : x + x + 60° = 180° ⇒ x = 60°.
44. In the following figure, AB || DG and BC || EF. Also, ∠ ABC = 60°. Then, the measure of ∠ DEF is
(a) 30°
(b) 60°
(c) 45°
(d) 120°.
Answer/Explanation
Answer: (b)
Explanation : ∠ DEF = ∠ DGC = ∠ ABC = 60°.
45. Find the value of x in the following figure, if l || m.
(a) 30°
(b) 45°
(c) 60°
(d) none of these
Answer/Explanation
Answer: (c)
Explanation : x + 120° = 180° ⇒ x = 60°.
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