NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles MCQ, are part of NCERT Solutions for Class 7 Maths. Here we have given NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles MCQ.
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles MCQ
Important Multiple Choice Questions
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.
2. The sum of the measures of two complementary angles is
(a) 180°
(b) 60°
(c) 45°
(d) 90°.
3. The measure of the complement of the angle 30° is
(а) 30°
(b) 16°
(c) 60°
(d) 160°.
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.
5. The measure of the complement of the angle 46° is
(a) 90°
(b) 46°
(c) 16°
(d) 136°.
6. What is the measure of the complement of the angle 80°?
(a) 10°
(b) 100°
(c) 36°
(d) 20°.
7. Which pair of the following angles are complementary?
8. The measure of the angle which is equal to its complement is
(a) 30°
(b)60°
(c) 46°
(d) 90°.
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°.
10. What is the measure of the complement of the angle 90°?
(а) 90°
(b) 0°
(c) 180°
(d) 46°.
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.
12. The sum of the measures of two supplementary angles is
(a) 90°
(b) 180°
(c) 360°
(d) none of these.
13. The measure of the supplement of the angle 120° is
(a) 30°
(b)45°
(c) 60°
(d) 90°.
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.
15. The measure of the supplement of the angle 90° is
(a) 45°
(b) 60°
(c) 30°
(d) 90°.
16. The measure of the angle which is equal to its supplement is
(a) 30°
(b) 45°
(c) 90°
(d) 60°.
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°.
18. What is the measure of the supplement of the angle 0°?
(a) 45°
(b) 90°
(c) 120°
(d) 180°.
19. Which pair of the following angles are not supplementary?
20. The measure of the supplement of the angle 179° is
(a) 1°
(b) 2°
(c) 3°
(d) 4°.
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.
22. The angles in a linear pair are
(a) complementary
(b) supplementary
(c) not adjacent angles
(d) vertically opposite 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.
24. Which of the following pairs of angles form a linear pair?
25. The sum of the measures of the angles in a linear pair is
(a) 90°
(b) 180°
(c) 360°
(d) none of these.
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.
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.
28. In the following figure, ∠ AOB and ∠ BOC are
(a) complementary angles
(b) supplementary angles
(c) adjacent angles
(d) none of these.
29. In the following figure, reflex ∠ AOB is equal to
(a) 60°
(b) 120°
(c) 300°
(d) 360° .
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.
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°.
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.
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.
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°.
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.
36. Which of the following pairs of angles are not adjacent angles?
37. Find the measure of the angle which is double of its complementary angle?
(a) 60°
(b) 30°
(c) 45°
(d) 120°.
38. Find the measure of the angle which is half of its supplementary angle?
(a) 60°
(b) 120°
(c) 90°
(d) 45°.
39. In the following figure, if ∠ 1 + ∠ 3 = 120°, then ∠ 2 + ∠ 4 is equal to
(a) 60°
(b) 120°
(c) 240°
(d) 80°
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°.
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°
42. In the following figure EF || GH. Then, the measure of ∠x is equal to
(a) 30°
(b) 45°
(c) 60°
(d) 40°
43. In the following figure, l || m. Find the measure of ∠ x.
(a) 60°
(b) 45°
(c) 30°
(d) none of these
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°.
45. Find the value of x in the following figure, if l || m.
(a) 30°
(b) 45°
(c) 60°
(d) none of these.
ANSWERS
HINTS/SOLUTIONS
1. Definition of complementary angles
2. Definition of complementary angles
3. 90° – 30° = 60°.
5. 90°- 45° = 45°.
6. 90° – 80° = 10°.
7. 60°+ 30° = 90°.
8. x° + x° = 90° ⇒ x° = 45°.
9. 150° + 30° = 180° ≠ 90°.
10. 90° – 90° = 0°.
11. Definition of supplementary angles.
12. Definition of supplementary angles.
13. 180° – 120° = 60°.
15. 180° – 90° = 90°.
16. x° + x° = 180° ⇒ x° = 90°.
17. 32° + 58° = 90° ≠ 180°.
18. 180° – 0° = 180°.
19. 120° + 90° = 210° ≠ 180°.
20. 180° – 179° – 1°.
22. Definition of a linear pair of angles.
24. 120° + 60° = 180°.
25. Definition of a linear pair of angles.
29. ∠ AOB = 360° – 60° = 300°.
31. ∠x – ∠y = (180° – 62°) – 62° = 118°- 62° = 56°.
32. ∠ 3, ∠ 5 are alternate interior angles.
33. Definition of alternate interior angles.
34. ∠ 2 = ∠ 6, corresponding angles.
35. ∠ 1, ∠ 2 simply make a linear pair.
37. x° = 2(90° – x°) ⇒ x° = 60°.
38. x° = 
39. ∠ 2 + ∠ 4 = 360°- (∠ 1 + ∠ 3) = 360°- 120° = 240°
40. ∠1 = ∠2; ∠1 + ∠2 = 100°
∴ ∠ 1 = 50°
∴ ∠ 4 = 180° – 50° = 130°.
41. ∠ 4 = 360° – 230° = 130°.
42. (x + 30°) + 120° = 180° ⇒ x = 30°.
43. x + x + 60° = 180° ⇒ x = 60°.
44. ∠ DEF = ∠ DGC = ∠ ABC = 60°.
45. x + 120° = 180° ⇒ x = 60°.
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