Questions & Answers: "Lines and Angles"

Complete guide to "Lines and Angles" for Math students. Below you will find important questions and model answers to help you prepare.

9 Questions

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We are building a dedicated quiz for this topic, but you can test your skills on a similar concept: Number Systems - Practice Set 1 (NCERT Class 9).

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Question 1

1 Mark

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

Options

Option A

54°

Option B is correct

108°

Option C

120°

Option D

136°

Question 2

1 Mark

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is

Options

Option A

an isosceles triangle

Option B

an obtuse triangle

Option C

an equilateral triangle

Option D is correct

a right triangle

Question 3

1 Mark

An exterior angle of a triangle is 105° and its two interior opposite angles are equal. Each of these equal angles is

Options

Option A is correct

37.5°

Option B

52.5°

Option C

72.5°

Option D

75°

Question 4

1 Mark

The angles of a triangle are in the ratio 5:3:7. The triangle is

Options

Option A is correct

an acute angled triangle

Option B

an obtuse angled triangle

Option C

a right triangle

Option D

an isosceles triangle

Question 5

1 Mark

If one of the angles of a triangle is 130°, then the angle between the bisectors of the other two angles can be

Options

Option A

50°

Option B

65°

Option C

145°

Option D is correct

155°

Question 6

1 Mark

Angles of a triangle are in the ratio 2:4:3. The smallest angle of the triangle is

Options

Option A

60°

Option B is correct

40°

Option C

80°

Option D

20°

Question 7

1 Mark

In the following figure, if OP||RS, ∠OPQ = 110° and ∠QRS = 130°, then ∠ PQR is equal to

Diagram for Question 7

Options

Option A

40°

Option B

50°

Option C is correct

60°

Option D

70°

Question 8

1 Mark

In the following figure, POQ is a line. The value of x is

Diagram for Question 8

Options

Option A is correct

20°

Option B

25°

Option C

30°

Option D

35°

Question 9

1 Mark

In following figure, if AB || CD || EF, PQ || RS, ∠RQD = 25° and ∠CQP = 60°, then ∠QRS is equal to

Diagram for Question 9

Options

Option A

85°

Option B

135°

Option C is correct

145°

Option D

110°