Class 9 Quiz Level 3 (Difficult) – Lines and Angles

Total questions: 10

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3, then the measure of the larger angle is

Topic: Angles with Transversals

Deselect Answer

54°

120°

108°

136°

None

In the figure, $\displaystyle l\parallel m$ and a transversal t cuts them. If ∠1:∠2:∠3, find the measure of each of the marked angles.

Topic: Parallel Lines

Deselect Answer

∠1 = ∠5 = 92°, ∠2 = ∠6 = 120°, ∠3 = ∠7 = 92°, ∠4 = ∠8 = 120°

∠1 = ∠5 = 72°, ∠2 = ∠6 = 108°, ∠3 = ∠7 = 72°, ∠4 = ∠8 = 108°

∠1 = ∠5 = 62°, ∠2 = ∠6 = 104°, ∠3 = ∠7 = 62°, ∠4 = ∠8 = 104°

None of these

None

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

Topic: Intersecting Lines and Angles

Deselect Answer

65°

40°

70°

60°

None

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

Topic: Angles with Parallel Lines

Deselect Answer

1)120°, (2) 280° and (3)100°

1)100°, (2) 280° and (3)120°

1)280°, (2) 100° and (3)280°

None of these

None

An angle is equal to one-third of its supplement. Find its measure.

Topic: Supplementary Angles

Deselect Answer

30°

60°

75°

45°

None

An angle is 20° less than its complement. Find its measure.

Topic: Complementary Angles

Deselect Answer

75°

55°

23°

35°

None

In the shown figure AB ∥ CD . If ∠BAE=25° and ∠CDE=30°, then find ∠AED.

Topic: Intersecting of Lines

Deselect Answer

30°

45°

50°

55°

None

In the given figure, straight lines PQ and RS intersect at O. If the magnitude of θ is 3 times that of ϕ, then ϕ is equal to :

Topic: Angle on a Straight Line

Deselect Answer

30°

40°

45°

60°

None

Find the angle whose supplement is four times its complement.

Topic: Supplementary and Complementary Angles

Deselect Answer

70°

80°

85°

60°

None

10.

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

Topic: Complementary Angles

Deselect Answer

45°

25°

75°

35°

None

1 out of 10

Class 9 Quiz Level 3 (Difficult) – Lines and Angles

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