Class 9 Practice – Level 3 – Set 1 – Lines and Angles

Total questions: 15

In AB∥CD and CD∥EF. Also EA⊥AB. If ∠BEF=55°, find the values of 𝑥, 𝑦 and 𝑧

Topic: Parallel Lines and Angles

𝑥 = 125, 𝑦 = 125, 𝑧 = 35°

𝑥 = 135, 𝑦 = 135, 𝑧 = 45°

𝑥 = 150, 𝑦 = 150, 𝑧 = 30°

None of these

None

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

54°

120°

108°

136°

None

In the figure, AOB is a straight line, Find the value of x. Hence, find ∠AOC and ∠COD.

Topic: Linear Pair of Angles

45°, 105°, 45°

32°, 103°, 45°

65°, 115°, 65°

35°, 120°, 35°

None

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

Topic: Angles with Parallel Lines

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

In the figure, $\displaystyle l\parallel m$ and a transversal t cuts them. If ∠7 = 80°, find the measure of each of the remaining marked angle.

Topic: Angles with Parallel Lines

∠1 = ∠5 = 80°, ∠2 = ∠6 = 100°, ∠3 = ∠7 = 80°, ∠4 = ∠8 = 100°

∠1 = ∠5 = 70°, ∠2 = ∠6 = 110°, ∠3 = ∠7 = 70°, ∠4 = ∠8 = 110°

∠1 = ∠5 = 60°, ∠2 = ∠6 = 120°, ∠3 = ∠7 = 60°, ∠4 = ∠8 = 120°

∠1 = ∠5 = 75°, ∠2 = ∠6 = 105°, ∠3 = ∠7 = 75°, ∠4 = ∠8 = 105°None of these

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

∠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

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

Topic: Parallel Lines

40°

45°

25°

80°

None

If the complement of an angle is equal to the supplement of the thrice of it, find the measure of the angle

Topic: Supplementary and Complementary Angles

55°

45°

35°

75°

None

Two supplementary angle differ by 48°. Find the angles.

Topic: Supplementary Angles

56° , 114°

76° , 114°

66° , 114°

46° , 114°

None

10.

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

Topic: Supplementary Angles

85° , 95°

95° , 95°

80° , 100°

None of these

None

11.

If an angle is 30° more than one half of its complement find the measure of the angle.

Topic: Complementary Angles

50°

60°

70°

80°

None

12.

If an angle is 28° less than its complement, find its measure.

Topic: Complementary Angles

28°

31°

38°

48°

None

13.

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

65°

40°

70°

60°

None

14.

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

Topic: Exterior Angle of a Triangle

65°

45°

75°

55°

None

15.

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

Topic: Supplementary Angles

30°

60°

75°

45°

None

1 out of 15

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Class 9 Practice – Level 3 – Set 1 – Lines and Angles

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