NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 5: Lines And Angles
Multiple Choice Questions

In questions 1 to 41, there are four options out of which one is correct. Write the correct one.

Question.  1

The angles between North and West and South and East are

(a)

(a) complementary

(b)

(b) supplementary

(c)

(c) both are acute

(d)

(d) both are obtuse

Open

Question.  2

Angles between South and West and South and East are

(a)

(a) vertically opposite angles

(b)

(b) complementary angles

(c)

(c) making a linear pair

(d)

(d) adjacent but not supplementary

Open

Question.  3

In Fig. 5.9, PQ is a mirror, AB is the incident ray and BC is the reflected ray. If \(\angle ABC = 46^\circ\), then \(\angle ABP\) is equal to

(a)

(a) 44°

(b)

(b) 67°

(c)

(c) 13°

(d)

(d) 62°

Open

Question.  4

If the complement of an angle is 79°, then the angle will be of

(a)

(a) 1°

(b)

(b) 11°

(c)

(c) 79°

(d)

(d) 101°

Open

Question.  5

Angles which are both supplementary and vertically opposite are

(a)

(a) 95°, 85°

(b)

(b) 90°, 90°

(c)

(c) 100°, 80°

(d)

(d) 45°, 45°

Open

Question.  6

The angle which makes a linear pair with an angle of 61° is of

(a)

(a) 29°

(b)

(b) 61°

(c)

(c) 122°

(d)

(d) 119°

Open

Question.  7

The angles \(x\) and \(90^\circ - x\) are

(a)

(a) supplementary

(b)

(b) complementary

(c)

(c) vertically opposite

(d)

(d) making a linear pair

Open

Question.  8

The angles \(x - 10^\circ\) and \(190^\circ - x\) are

(a)

(a) interior angles on same side

(b)

(b) making a linear pair

(c)

(c) complementary

(d)

(d) supplementary

Open

Question.  9

In Fig. 5.10, the value of x is

(a)

(a) 110°

(b)

(b) 46°

(c)

(c) 64°

(d)

(d) 150°

Open

Question.  10

In Fig. 5.11, if AB ∥ CD, ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is

(a)

(a) 130°

(b)

(b) 50°

(c)

(c) 80°

(d)

(d) 30°

Open

Question.  11

In Fig. 5.12, lines l and m intersect. Which is false?

(a)

(a) ∠a = ∠b

(b)

(b) ∠d = ∠c

(c)

(c) ∠a + ∠d = 180°

(d)

(d) ∠a = ∠d

Open

Question.  12

If angle P and Q are supplementary and ∠P = 60°, then ∠Q is

(a)

(a) 120°

(b)

(b) 60°

(c)

(c) 30°

(d)

(d) 20°

Open

Question.  13

In Fig. 5.13, POR is a line. The value of a is

(a)

(a) 40°

(b)

(b) 45°

(c)

(c) 55°

(d)

(d) 60°

Open

Question.  14

In Fig. 5.14, POQ is a line. If x = 30°, then ∠QOR is

(a)

(a) 90°

(b)

(b) 30°

(c)

(c) 150°

(d)

(d) 60°

Open

Question.  15

The measure of an angle which is four times its supplement is

(a)

(a) 36°

(b)

(b) 144°

(c)

(c) 16°

(d)

(d) 64°

Open

Question.  16

In Fig. 5.15, the value of y is

(a)

(a) 30°

(b)

(b) 15°

(c)

(c) 20°

(d)

(d) 22.5°

Open

Question.  17

In Fig. 5.16, PA ∥ BC ∥ DT and AB ∥ DC. Then, the values of a and b are respectively

(a)

(a) 60°, 120°

(b)

(b) 50°, 130°

(c)

(c) 70°, 110°

(d)

(d) 80°, 100°

Open

Question.  18

The difference of two complementary angles is 30°. Then, the angles are

(a)

(a) 60°, 30°

(b)

(b) 70°, 40°

(c)

(c) 20°, 50°

(d)

(d) 105°, 75°

Open

Question.  19

In Fig. 5.17, PQ ∥ SR and SP ∥ RQ. Then, angles a and b are respectively

(a)

(a) 20°, 50°

(b)

(b) 50°, 20°

(c)

(c) 30°, 50°

(d)

(d) 45°, 35°

Open

Question.  20

In Fig. 5.18, a and b are

(a)

(a) alternate exterior angles

(b)

(b) corresponding angles

(c)

(c) alternate interior angles

(d)

(d) vertically opposite angles

Open

Question.  21

If two supplementary angles are in the ratio 1:2, then the bigger angle is

(a)

(a) 120°

(b)

(b) 125°

(c)

(c) 110°

(d)

(d) 90°

Open

Question.  22

In Fig. 5.19, ∠ROS is a right angle and ∠POR and ∠QOS are in the ratio 1:5. Then, ∠QOS measures

(a)

(a) 150°

(b)

(b) 75°

(c)

(c) 45°

(d)

(d) 60°

Open

Question.  23

Statements:

a: If two lines intersect, then vertically opposite angles are equal.

b: If a transversal intersects two other lines, then the sum of two interior angles on same side = 180°.

(a)

(a) Both a and b true

(b)

(b) a true and b false

(c)

(c) a false and b true

(d)

(d) Both a and b false

Open

Question.  24

For Fig. 5.20:

p: a and b form a linear pair.

q: a and b form adjacent angles.

(a)

(a) both p and q true

(b)

(b) p true q false

(c)

(c) p false q true

(d)

(d) both false

Open

Question.  25

In Fig. 5.21, ∠AOC and ∠BOC form a pair of

(a)

(a) vertically opposite

(b)

(b) complementary

(c)

(c) alternate interior

(d)

(d) supplementary

Open

Question.  26

In Fig. 5.22, the value of a is

(a)

(a) 20°

(b)

(b) 15°

(c)

(c) 5°

(d)

(d) 10°

Open

Question.  27

In Fig. 5.23, if QP ∥ SR, the value of a is

(a)

(a) 40°

(b)

(b) 30°

(c)

(c) 90°

(d)

(d) 80°

Open

Question.  28

In which of the following figures, a and b form adjacent angles?

(a)

(a)

(b)

(b)

(c)

(c)

(d)

(d)

Open

Question.  29

In a pair of adjacent angles: (i) vertex common, (ii) one arm common, (iii) uncommon arms opposite rays. Then

(a)

(a) All true

(b)

(b) (iii) false

(c)

(c) (i) false, (ii)(iii) true

(d)

(d) (ii) false

Open

Question.  30

In Fig. 5.25, lines PQ and ST intersect at O. If ∠POR = 90° and x:y = 3:2, then z = ?

(a)

(a) 126°

(b)

(b) 144°

(c)

(c) 136°

(d)

(d) 154°

Open

Question.  31

In Fig. 5.26, POQ is a line, then a is equal to

(a)

(a) 35°

(b)

(b) 100°

(c)

(c) 80°

(d)

(d) 135°

Open

Question.  32

Vertically opposite angles are always

(a)

(a) supplementary

(b)

(b) complementary

(c)

(c) adjacent

(d)

(d) equal

Open

Question.  33

In Fig. 5.27, a = 40°. The value of b is

(a)

(a) 20°

(b)

(b) 24°

(c)

(c) 36°

(d)

(d) 120°

Open

Question.  34

If an angle is 60° less than two times of its supplement, then the greater angle is

(a)

(a) 100°

(b)

(b) 80°

(c)

(c) 60°

(d)

(d) 120°

Open

Question.  35

In Fig. 5.28, PQ ∥ RS. If ∠1 = (2a + b)° and ∠6 = (3a − b)°, then the measure of ∠2 in terms of b is

(a)

(a) (2 + b)°

(b)

(b) (3 − b)°

(c)

(c) (108 − b)°

(d)

(d) (180 − b)°

Open

Question.  36

In Fig. 5.29, PQ ∥ RS and a : b = 3 : 2. Then f is equal to

(a)

(a) 36°

(b)

(b) 108°

(c)

(c) 72°

(d)

(d) 144°

Open

Question.  37

In Fig. 5.30, line l intersects two parallel lines PQ and RS. Then, which one is not true?

(a)

(a) ∠1 = ∠3

(b)

(b) ∠2 = ∠4

(c)

(c) ∠6 = ∠7

(d)

(d) ∠4 = ∠8

Open

Question.  38

In Fig. 5.30, which one is not true?

(a)

(a) ∠1+∠5=180°

(b)

(b) ∠2+∠5=180°

(c)

(c) ∠3+∠8=180°

(d)

(d) ∠2+∠3=180°

Open

Question.  39

In Fig. 5.30, which is true?

(a)

(a) ∠1=∠5

(b)

(b) ∠4=∠8

(c)

(c) ∠5=∠8

(d)

(d) ∠3=∠7

Open

Question.  40

In Fig. 5.31, PQ ∥ ST. Then, the value of x+y is

(a)

(a) 125°

(b)

(b) 135°

(c)

(c) 145°

(d)

(d) 120°

Open

Question.  41

In Fig. 5.32, if PQ ∥ RS and QR ∥ TS, then the value a is

(a)

(a) 95°

(b)

(b) 90°

(c)

(c) 85°

(d)

(d) 75°

Open

NCERT Exemplar Solutions Class 7 – Mathematics – Unit 5: Lines And Angles – Multiple Choice Questions | Detailed Answers