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

Total questions: 25

If two straight lines intersect each other in such a way that one of the angles formed measures 90° , what are the measurement of the remaining angles?

Topic: Intersecting Lines and Angles

90°

60°

50°

40°

None

Two lines AB and CD intersect at a point O such that ∠BOC+∠AOD=280°, as shown in the figure. Find all four angles.

Topic: Intersecting Lines and Angles

50°,130°, 130°, 50°

60°,120°, 120°, 60°

40°, 140°, 140°, 40°

30°, 150°, 150°, 30°

None

In the figure, three coplanar lines AB,CD and EF intersect at a point O. Find the value of 𝑥. Hence, find ∠AOD,∠COE and ∠AOE

Topic: Intersecting Lines and Angles

x = 18, ∠AOD = 36°, ∠COE = 90°, ∠AOE = 54°

x = 36, ∠AOD = 18°, ∠COE = 92°, ∠AOE = 65°

x = 40, ∠AOD = 66°, ∠COE = 90°, ∠AOE = 90°

None of these

None

In the figure given, state which lines are parallel and why?

Topic: Parallel Lines

AD∥CD

AC∥DE

AB∥CD

CB∥AD

None

For what value of 𝑥 will the lines $\displaystyle l\text{ and }m$ be parallel to each other?

Topic: Conditions for Parallelism

None

For what value of 𝑥 will the lines $\displaystyle l\text{ and }m$ be parallel to each other?

Topic: Conditions for Parallelism

None

In the figure given, AB∥CD. Find the value of 𝑥 in each case.

Topic: Angles with Parallel Lines

1)100°, (2) 280° and (3)120°

1)280°, (2) 100° and (3)280°

1)120°, (2) 280° and (3)100°

All of these

None

In the figure, lines AB and CD intersect at O. If angle AOC + angle BOE=70 and angle BOD=40 , find angle BOE and reflex angle COE.

Topic: Intersecting Lines and Ratios

35°. 150°

30°, 250°

40°, 100°

45°, 145°

None

In the figure, angle PQR=angle PRQ, then select the correct option.

Topic: Properties of Isosceles Triangles

∠PRS = ∠PRT

∠PQS = ∠PRT

∠PSS = ∠PRT

None of these

None

10.

In the figure, if $\displaystyle x+y=w+z$, then, which option is the correct?

Topic: Linear Pair of Angles

AOB is a straight line.

AOC is a straight line.

AOB is a Perpendicular

None of these

None

11.

It is given that ∠XYZ=64 and XY is produced to point P. If ray YQ bisects ∠ZYP, find ∠XYQ and reflex ∠QYP.

Topic: Angle Bisectors and Reflex Angles

∠XYQ=122° and reflex ∠QYP=58°

∠XYQ=402° and reflex ∠QYP=302°

∠XYQ=132° and reflex ∠QYP=602°

∠XYQ=122° and reflex ∠QYP=502°

None

12.

In the figure, find the values of 𝑥 and y and, then select the correct option?

Topic: Angles with Parallel Lines

AB ∥ CD

AC ∥ BD.

AD ∥ CD.

None of these

None

13.

In the figure, if AB parallel CD, ACD parallel EF and y : z = 3 : 7, find𝑥.

Topic: Angles with Parallel Lines

124°

150°

145°

126°

None

14.

In the figure, if PQ parallel ST, angle PQR=110 and angle RST=130, find angle QRS.

Topic: Angles in Parallel Lines and Transversals

50°

40°

60°

90°

None

15.

PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD , then select the correct option?

Topic: Reflection by Parallel Mirrors

AD II CB alternate interior angles are equal)

AB II CD alternate interior angles are equal)

AC II BD alternate interior angles are equal)

None of these

None

16.

In Fig, if AB DE, ∠BAC=35° and ∠CDE=53°, find ∠ DCE.

Topic: Angles with Parallel Lines

92°

85°

82°

65°

None

17.

In Fig., if lines PQ and RS intersect at point T , such that ∠PRT=40°,∠RPT=95° and ∠TSQ=75°, find ∠SQT .

Topic: Angles at the Point of Intersection

60°

70°

80°

90°

None

18.

In Fig, the side QR of △ PQR is produced to a point S . If the bisectors of ∠PQR and ∠ PRS meet at point T ,then select the correct option?

Topic: Angle Bisectors in Triangle

QTR =$\displaystyle \dfrac{1}{2}$ ∠QPR

QTR =1/$\displaystyle \dfrac{1}{4}$ 4∠QPR

QTR =$\displaystyle \dfrac{1}{6}$ ∠QPR

None of these

None

19.

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 and Internal Angles

60°

45°

90°

180°

None

20.

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 Angles

75°, 105°, 105°, 75°

65°, 115°, 115°, 65°

85°, 95°, 95°, 85

100°, 80°, 80°, 100°

None

21.

In Fig., OP, OQ, OR and OS are four rays. Prove that ∠POQ + ∠QOR + ∠SOR + ∠POS = 360°

Topic: Sum of Angles at a Point

230°

360°

240°

180°

None

22.

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

Topic: Angles with Parallel Lines

85°

95°

105°

115°

None

23.

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

Topic: Parallel Lines

PQ∥RS

PR∥RQ

PS∥RQ

None of these

None

24.

Two supplementary angles differ by 34°. Find the measure of the smaller angle.

Topic: Supplementary Angles

93°

34°

73°

107°

None

25.

In figure, find ∠COD when ∠AOC+∠BOD=100°

Topic: Angles Formed by Intersecting Lines

70°

80°

90°

60°

None

1 out of 25

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

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