Class 9 Practice – Level 2 – Set 1 - Lines and Angles

Total questions: 25

In ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS = 𝑥, find ∠ROT.

Topic: Angle Bisectors of Parallel Lines

90°

60°

45°

180°

None

In Fig., lines PQ and RS intersect each other at point O. If ∠POR:∠ROQ=5 : 7, find all the angles.

Topic: Intersecting Lines and Ratios

75°, 105°, 105°, 75°

35°, 145°, 145°, 35°

60°, 120°, 120°, 60°

40°, 140°, 140°, 40°

None

In Fig, OP, OQ, OR and OS are four rays, then the value of ∠POQ + ∠QOR + ∠SOR + ∠POS = ?

Topic: Sum of Angles at a Point

360°

180°

365°

380°

None

In Fig. , if PQ∥RS,∠MXQ=135° and ∠MYR=40°, find ∠XMY.

Topic: Parallel Lines and Transversals

75°

85°

65°

55°

None

If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then the two lines are parallel.

Topic: Parallel Lines

True

False

None

In if QT ⊥ PR,∠TQR = 40° and ∠SPR = 30°, find 𝑥 and 𝑦

Topic: Triangle and Perpendiculars

80°

90°

110°

100°

None

In , the sides AB and AC of △ABC are produced to points E and D respectively. If bisectors BO and CO of ∠CBE and ∠BCD respectively meet at point O, then the value of ∠BOC= ?

Topic: Angle Bisectors and External Angles

90° − $\displaystyle \dfrac{1}{2}$ ∠BAC

80° − $\displaystyle \dfrac{1}{2}$ ∠BAC

90° - $\displaystyle \dfrac{1}{2}$ ∠BCD

None of these

None

Define the following term: Supplementary angles

Topic: Supplementary Angles

Two angles are said to be supplementary if the sum of their measure is 180°

Three angles are said to be supplementary if the sum of their measure is 180°

Two angles are said to be supplementary if the product of their measure is 180°

Two angles are said to be supplementary if the sum of their measure is 160°

None

Find the angle which is five times its supplement.

Topic: Supplementary Angles

150°

160°

180°

205°

None

10.

Find the supplement of the following angle: 124°

Topic: Supplementary Angles

56°

65°

45°

25°

None

11.

Find the complement of each of the following angle: 55°

Topic: Complementary Angles

45°

35°

65°

75°

None

12.

What is the value of 𝑥 for which the angles (2𝑥−5)° and (𝑥 −10)° are the complementary angles.

Topic: Complementary Angles

35°

45°

65°

55°

None

13.

Find the supplement of the following angle: 42°

Topic: Supplementary Angles

138°

140°

184°

148°

None

14.

Define the following term: Interior of an angle.

Topic: Interior of an Angle

Angles A, B, C of a triangle ABC are equal to each other ...

AC as O

AC as C

AC as D

AC as B

None

15.

Which option represents an Angle

Topic: Types of Angles

Two rays originate from the same point

Three rays originate from the same point

Two rays originate from the mid point

Two rays originate from the another point

None

16.

Define the following term: Obtuse angle

Topic: Obtuse Angle

An angle whose measure is more than 60°

An angle whose measure is more than 90°

An angle whose measure is less than 90°

An angle whose measure is more than 50°

None

17.

Which option represents a Reflex angle

Topic: Reflex Angle

An angle whose measure is more than 180° but less than 360°

An angle whose measure is less than 180° but more than 360°

An angle whose measure is more than 360° but less than 360°

An angle whose measure is more than 180° but less than 400°

None

18.

Find the angle whose supplement is four times its complement.

Topic: Supplementary and Complementary Angles

50°

60°

70°

80°

None

19.

Find the supplement of the following angle: $\displaystyle \dfrac{3}{5}$ of a right angle

Topic: Supplementary Angles

154°

126°

124°

130°

None

20.

Find the measure of an angle which is 36° more than its complement.

Topic: Complementary Angles

45°

78°

63°

None of these

None

21.

If the supplement of an angles is three times its complement, then angle is ?

Topic: Supplementary and Complementary Angles

45°

40°

80°

70°

None

22.

The angles of a triangle are ( 𝑥−45)° ,( 𝑥−35)° and ($\displaystyle \dfrac{1}{2}$𝑥 −10)°. Then the value of 𝑥 is

Topic: Angles in Triangles

108°

55°

100°

60°

None

23.

Two adjacent angles on a straight line are in the ratio 5:4. Find the measure of each one of these angles.

Topic: Adjacent Angles on a Line

60°, 120°

40°, 140°

100°, 80°

50°, 130°

None

24.

Is the bisectors of two adjacent supplementary angles include a right angle?

Topic: Supplementary Angles

False

True

None

25.

In the adjoining figure AOB is a straight line. Find the value of x.

Topic: Angle on a Straight Line

118°

104°

156°

98°

None

1 out of 25

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Class 9 Practice – Level 2 – Set 1 - Lines and Angles

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