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Class 7 Maths MCQ Questions for Lines and Angles with Answers?

Answer 1

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Practice MCQ Questions for Class 7 Maths

1. When the sum of the measures of two angles is 90º, the angles are called

(а) supplementary angles
(b) complementary angles
(c) adjacent angles
(d) vertically opposite angles

2. The measure of the complement of the angle 30º is

(а) 30º
(b) 16º
(c) 60º
(d) 160º

3. Which one of the following statements is not false?

(а) If two angles form a linear pair, then each of these angles is of measure 90º
(b) Angles forming a linear pair can both be acute angles
(c) One of the angles forming a linear pair can be an obtuse angle
(d) Bisectors of the adjacent angles form a right angle

4. The measure of the complement of the angle 46° is

(a) 90º
(b) 44º
(c) 16º
(d) 136º

5. What is the measure of the complement of the angle 80° is

(a) 10º
(b) 100º
(c) 36º
(d) 20º

6. The measure of the angle which is equal to its complement is

(a) 30º
(b) 60º
(c) 46º
(d) 90º

7. Which of the following pairs of angles is not a pair of complementary angles?

(a) 60º, 30º
(b) 66º, 34º
(c) 0º, 90º
(d) 150º, 30º

8. What is the measure of the complement of the angle 90º?

(а) 90º
(b) 0º
(c) 180º
(d) 46º

9. 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

10. The measure of the supplement of the angle 120º is

(a) 30º
(b) 45º
(c) 60º
(d) 90º

11. The measure of the supplement of the angle 90° is

(a) 45º
(b) 60º
(c) 30º
(d) 90º

12. Which of the following pairs of angles is not a pair of supplementary angles?

(a) 90º, 90º
(b) 32º, 58º
(c) 0º, 180º
(d) 76º, 104º

13. The angles in a linear pair are

(a) complementary
(b) supplementary
(c) not adjacent angles
(d) vertically opposite angles

14. 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

15. In the following figure, reflex ∠ AOB is equal to

(a) 60°
(b) 120°
(c) 300°
(d) 360°

16. 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

17. In the following figure, a transversal cuts two parallel lines l and m 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°

18. Find the measure of the angle which is double its complementary angle?

(a) 60º
(b) 30º
(c) 45º
(d) 120º

19. Find the measure of the angle which is half of its supplementary angle?

(a) 60º
(b) 120º
(c) 90º
(d) 45º

19. In the following figure, reflex ∠ AOB is equal to

(a) 60º
(b) 120º
(c) 300º
(d) 360º

20. A-line that intersects two or more lines at distinct points is called

(a) parallel
(b) transversal
(c)  intersecting
(d) None of these

21. When an arm of an angle is extended then the measure of angle:

(a) doubles
(b) triples
(c) remains the same
(d) none

22. Complementary pair of angles :

(a) 70+ 20
(b) 30 + 45
(c) 0 + 95
(d) None of these

23. Identify supplementary pair of angles :

(a) 0º, 90º
(b) 30º, 150º
(c) 45º, 145º
(d) None of these

24. What do we call an angle whose measurement is exactly equal to 0º?

(a) An obtuse angle
(b) A straight angle
(c) A zero angle
(d) A right angle

25. Which instrument is used to measure or construct angles?

(a) Compasses
(b) Scale
(c) Protractor
(d) Set squares

Answer 2

1. Answer: (b) complementary angles

Explanation: Two angles are called complementary when their measures add to 90 degrees.

2. Answer: (c) 60º

Explanation: 90º – 30º

 = 60º

3. Answer: (c) One of the angles forming a linear pair can be obtuse angle

Explanation: Since when two angles form linear pair they are supplementary, they add up to form 180 degrees. Hence, one angle has to be acute and other angle obtuse if there sum is 180 degrees.

4. Answer: (b) 44º

Explanation: Complementary angle = 90 − given angle

⇒ Complement of 46 = 90 − 46 

= 44º

5. Answer: (a) 10º

Explanation: Complementary angle = 90 − given angle

⇒ Complement of 80 = 90 − 80

= 10º

6. Answer: (c) 46º

Explanation: xº + xº = 90º 

⇒ xº = 45º.

7.  Answer:  (d) 150º+ 30º

Explanation: 150º+ 30º = 180º ≠ 90º.

8. Answer: (b) 0º

Explanation: Complementary angle = 90 − given angle

⇒ Complement of 90 = 90 − 90

= 0º

9. Answer:  (d) supplementary angles

Explanation: Supplementary angles are two angles whose measures add up to 180º.

10.  Answer:  (c) 60º

Explanation:Supplementary angle = 180 − given angle

⇒ supplement of 120 = 180 − 120

= 60º

11. Answer: (d) 90º

Explanation: Supplementary angle = 180 − given angle

⇒ supplement of 90º = 180 − 90

= 90º

12.  Answer: (b) 32º, 58º

Explanation: 32º + 58º = 90º ≠ 180°.

13. Answer: (b) supplementary

Explanation: The two angles of a linear pair are always supplementary, which means their measures add up to 180°.

14.  Answer: (d) Two vertically opposite angles may be unequal

Explanation: Vertically opposite angles are always equal. So, they will always be of same type i.e acute, obtuse or right angles.

15.  Answer: (c) 300°

Explanation: ∠AOB = 360° – 60° 

= 300°

16.  Answer: (d) ∠3, ∠5

Explanation:∠3, ∠5 are alternate interior angles.

17. Answer: (d) ∠2 + ∠6 = 180°

Explanation: ∠2 = ∠6, corresponding angles.

18.  Answer: (a) 60º

Explanation: xº = 2(90º – xº) 

⇒ xº = 60º

19.  Answer: (a) 60º

Explanation: x° = 1/2(180º – xº) 

⇒ xº = 60º.

19.  Answer: (a) 60º

Explanation: ∠ AOB = 360º – 60º

= 300º.

20.  Answer: (b) transversal

Explanation: A line that intersects two or more lines at distinct points is called a transversal line.In the figure, the line 't' is transversal to lines l and m, intersecting these two lines at points A and B.

21.  Answer: (c) remains the same

Explanation:  An angle is the intersection of two lines, so extension of an arm will not affect the measure of an angle. So, when an arm of an angle is extended then the measure of the angle remains the same. Hence, the answer is 'remains the same'.

22.  Answer: (a) 70+ 20

Explanation: The sum of two angles is 90°.

23.  Answer: (b) 30º, 150º

Explanation: If the sum of two angles is 180º, i.e., pair of supplementary.

24. Answer: (c) A zero angle

Explanation: An angle measure 0º is called a zero angle. When two arms of an angle lie on each other, 0º angle is formed. An angle whose degree measure is greater than the degree measure of another angle is a greater angle.

25.  Answer: (c) Protractor

Explanation: Protractor, any of a group of instruments used to construct and measure plane angles. The simplest protractor comprises a semicircular disk graduated in degrees—from 0° to 180°.

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