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?

**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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