Class 9 Quiz Level 1 (Easy) – Lines and Angles

Total questions: 30

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 Angles

Deselect Answer

$\displaystyle {{45}^{{^{\circ }}}}$

$\displaystyle {{30}^{{^{\circ }}}}$

$\displaystyle {{60}^{{^{\circ }}}}$

$\displaystyle {{35}^{{^{\circ }}}}$

None

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

Topic: Complementary Angles

Deselect Answer

63°

45°

78°

33°

None

As shown in the figure find x and y if $\displaystyle \angle ACB=100{}^\circ ,\angle ADE={{120}^{{^{\circ }}}}$

Topic: Angle Relationships in Triangles and Lines

Deselect Answer

$\displaystyle x={{80}^{{^{\circ }}}}\text{ and }y={{40}^{{^{\circ }}}}$

$\displaystyle x={{50}^{{^{\circ }}}}\text{ and }y={{40}^{{^{\circ }}}}$

$\displaystyle x={{80}^{{^{\circ }}}}\text{ and }y={{60}^{{^{\circ }}}}$

$\displaystyle x={{80}^{{^{\circ }}}}\text{ and }y={{90}^{{^{\circ }}}}$

None

In Fig , $\displaystyle \angle PQR=\angle PRQ,\text{ then prove that }\angle PQS=\angle PRT.$

Topic: Properties of Isosceles Triangles

Deselect Answer

$\displaystyle \angle PQS=\angle PRT$

$\displaystyle \angle PQR=\angle PRQ$

$\displaystyle \angle PWR=\angle PRQ$

$\displaystyle \angle PQR=\angle PQS$

None

In the figure lines XY and MN intersect at O. If angle POY = $\displaystyle {{90}^{{^{\circ }}}}$ and a : b = 2 : 3, what is the value of c.

Topic: Intersecting Lines and Angles

Deselect Answer

$\displaystyle {{90}^{{^{\circ }}}}$

$\displaystyle {{60}^{{^{\circ }}}}$

$\displaystyle {{126}^{{^{\circ }}}}$

$\displaystyle {{130}^{{^{\circ }}}}$

None

Find the supplement of the following angle: $\displaystyle {{90}^{\circ }}$

Topic: Supplementary Angles

Deselect Answer

$\displaystyle {{45}^{\circ }}$

$\displaystyle {{60}^{\circ }}$

$\displaystyle {{90}^{\circ }}$

$\displaystyle {{70}^{\circ }}$

None

Two complementary angles are in the ratio 4:5. Find the angles.

Topic: Complementary Angles

Deselect Answer

10°, 80°

20°, 70°

30, 60°

40°, 50°

None

If the angle (2𝑥−10)° and ( 𝑥−5)° are complementary angles, find 𝑥.

Topic: Complementary Angles

Deselect Answer

45°

35°

105°

75°

None

In the given figure, if PQ∥RS, ∠MXQ=135° and ∠MYR=40° ,then the value of ∠XMY is

Topic: Properties of Parallel Lines and Angles

Deselect Answer

35°

85°

75°

45°

None

10.

Compute the value of 𝑥 in the given figure.

Topic: Angle Calculation

Deselect Answer

40°

50°

60°

45°

None

11.

An angle is 14° more than its complementary angle, then angle is :

Topic: Complementary Angles

Deselect Answer

14°

38°

50°

52°

None

12.

In figure, if AB∥DE,∠BA C= 35° and ∠CDE= 53° ,∠DCE = ?

Topic: Angles with Parallel Lines

Deselect Answer

106°

92°

105°

15°

None

13.

Compute the value of 𝑥 in the given figure.

Topic: Angle Calculation

Deselect Answer

44°

45°

35°

65°

None

14.

OA and OB are opposite rays. If 𝑥=75°,what is the value of 𝑦?

Topic: Opposite Rays

Deselect Answer

25°

125°

105°

95°

None

15.

If two angles are complementary of each other, then each angle is :

Topic: Complementary Angles

Deselect Answer

An Obtuse angle

A Right angle

An Acute angle

A supplementary angle.

None

16.

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

Topic: Supplementary and Complementary Angles

Deselect Answer

45°

40°

80°

70°

None

17.

Angle between the hours and minute hand of a clock at 11 :15 is -

Topic: Clock Angles

Deselect Answer

90°

112.5°

120°

80°

None

18.

The supplementary angle of the complementary of 30° is:

Topic: Supplementary and Complementary Angles

Deselect Answer

60°

120°

30°

150°

None

19.

If ℓ is any given line and P is any point not lying on ℓ, then the number of parallel lines than can through P, parallel to ℓ would be :

Topic: Parallel Lines

Deselect Answer

One

Two

Infinite

None of these

None

20.

In figure, sides QP and RQ of △PQR are produced to points S and T respectively. If ∠SPR=135° and ∠PQT=110°,∠PRQ= ?

Topic: Angles in Triangles

Deselect Answer

85°

75°

65°

95°

None

21.

Compute the value of 𝑥 in the given figure.

Topic: Angle Calculation

Deselect Answer

88°

44°

100°

120°

None

22.

If two parallel lines are intersected by transversal then the bisectors of the interior angles form a :

Topic: Angle Bisectors of Parallel Lines

Deselect Answer

Rhombus

∥gm

Square

Rectangle

None

23.

Two parallel lines have :

Topic: Properties of Parallel Lines

Deselect Answer

A common point

Two common points

No common point

Infinite common points

None

24.

In △PQR, sides PQ and PR are extended to S and T respectively. OQ and OR are bisector of ∠RQS and ∠QRT meeting at O , select the correct option

Topic: Angle Bisectors in Triangle

Deselect Answer

2∠QOR=∠PQR+∠QRP

4∠QOR=∠PQR+∠QRP

2∠QOR=∠PQR-∠QRP

8∠QOR=∠PQR-∠QRP

None

25.

In the given figure, ∠Q>∠R, PA is the bisector of ∠QPR and PM⊥QR, select the correct option.

Topic: Angle Bisectors and Perpendiculars in Triangles

Deselect Answer

∠APM = $\displaystyle \dfrac{1}{2}$(∠P−∠R)

∠APM = $\displaystyle \dfrac{1}{2}$(∠Q−∠R)

∠APM = $\displaystyle \dfrac{1}{2}$(∠R−∠R)

∠APM = $\displaystyle \dfrac{1}{2}$(∠S−∠R)

None

26.

The angles of a triangle are ( 𝑥 − 40)° ,( 𝑥 − 20)° and ($\displaystyle \dfrac{1}{2}$𝑥 −10)°. Then the value of 𝑥 is

Topic: Angles in Triangles

Deselect Answer

95°

100°

50°

60°

None

27.

In Fig., the side QR of ΔPQR is produced to a point S. If the bisectors of ∠PQR and ∠PRS meet at point T, then ∠QTR=$ \displaystyle \dfrac{1}{2}$ ∠QPR.

Topic: Exterior Angle Bisectors of a Triangle

Deselect Answer

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

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

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

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

None

28.

In the adjoining figure PQ∣∣RS find 𝑥 = and y.

Topic: Parallel Lines and Angles

Deselect Answer

𝑥 = 55°, y = 40°

𝑥 = 85°, y = 25°

𝑥 = 75°, y = 35°

𝑥 = 45°, y = 45°

None

29.

OA and OB are opposite rays. If 𝑦=110°, what is the value of 𝑥?

Topic: Opposite Rays

Deselect Answer

90°

50°

80°

70°

None

30.

A triangle can have:

Topic: Properties of Triangles

Deselect Answer

Two right angles

Two obtuse angle

all angles more than 60º

Two acute angles

None

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Class 9 Quiz Level 1 (Easy) – Lines and Angles

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