MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers

Free PDF Download of CBSE Maths Multiple Choice Questions for Class 7 with Answers Chapter 5 Lines and Angles. Maths MCQs for Class 7 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 7 Maths Lines and Angles MCQs Pdf with Answers to know their preparation level.

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?
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 17
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 18

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?
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 19
byjus class 7 maths Chapter 5 Lines and Angles 20

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?
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 21

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
byjus class 7 maths Chapter 5 Lines and Angles 22
(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
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 23
(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
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 24
(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?
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 25
(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?
byjus class 7 maths Chapter 5 Lines and Angles 26
(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?
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 27
(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?
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 28

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
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 29
(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
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 30
(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
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 31
(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
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 32
(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.
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 33
(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
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 34

(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.
byjus class 7 maths Chapter 5 Lines and Angles 35
(a) 30°
(b) 45°
(c) 60°
(d) none of these

Answer/Explanation

Answer: (c)
Explanation : x + 120° = 180° ⇒ x = 60°.


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