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CBSE Class 9  >  Class 9 Test  >  6 Months Preparation (CBSE)  >  Test: Lines & Angles - Class 9 MCQ

Lines & Angles - Free MCQ Practice Test with solutions, Class 9


MCQ Practice Test & Solutions: Test: Lines & Angles (15 Questions)

You can prepare effectively for Class 9 6 Months Preparation for Class 9 (CBSE) with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Lines & Angles". These 15 questions have been designed by the experts with the latest curriculum of Class 9 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 40 minutes
  • - Number of Questions: 15

Sign up on EduRev for free to attempt this test and track your preparation progress.

Test: Lines & Angles - Question 1
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In a triangle, if one angle measures 40º and the second angle measures 60º, what is the measure of the third angle?

Detailed Solution: Question 1

The sum of the angles in a triangle is always 180º.
Here, the first angle is 40º and the second angle is 60º.
Thus, the third angle can be calculated as follows:
180º - (40º + 60º) = 180º - 100º = 80º.
Hence, the third angle measures 80º.

Test: Lines & Angles - Question 2
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If two lines intersect and form angles of 3x and 5x, what is the measure of each angle?

Detailed Solution: Question 2

Since these angles form a linear pair, their sum is 180°.
Therefore 3x + 5x = 180° gives 8x = 180°, so x = 180° divided by 8 = 22.5°.
Hence 3x = 3 × 22.5° = 67.5° and 5x = 5 × 22.5° = 112.5°.

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Test: Lines & Angles - Question 3
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In a straight line, if angles A and B are supplementary and angle A measures 70º, what is the measure of angle B?

Detailed Solution: Question 3

Supplementary angles add up to 180º.
Given angle A = 70º, we can find angle B as follows:
Angle B = 180º - Angle A = 180º - 70º = 110º.

Test: Lines & Angles - Question 4
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What is the relationship between the angles formed when two parallel lines are cut by a transversal?

Detailed Solution: Question 4

When two parallel lines are intersected by a transversal, corresponding angles are congruent, meaning they are equal in measure.
This property is fundamental in geometry and helps in proving various geometric theorems.

Test: Lines & Angles - Question 5
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If angle A measures 2x and angle B measures 3x and they form a linear pair, find the value of x.

Detailed Solution: Question 5

The sum of angles in a linear pair is 180º. Setting up the equation: 2x + 3x = 180º. This simplifies to 5x = 180º, leading to x = 36º.

Test: Lines & Angles - Question 6
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If the angles of a triangle are in the ratio 2:3:4, what are the angles?

Detailed Solution: Question 6

Let the angles be 2x, 3x, and 4x.
The sum is 2x + 3x + 4x = 180º, leading to 9x = 180º, so x = 20º.
Thus, the angles are 40º, 60º, and 80º.

Test: Lines & Angles - Question 7
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In triangle ABC, if angle A = 50º and angle B = 70º, what is angle C?

Detailed Solution: Question 7

Using the angle sum property of triangles:
Angle A + Angle B + Angle C = 180º.
Substituting the known values gives: 50º + 70º + Angle C = 180º.
Thus, Angle C = 180º - 120º = 60º.

Test: Lines & Angles - Question 8
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What type of angles are formed when two lines intersect?

Detailed Solution: Question 8

When two lines intersect, they form pairs of vertical angles, which are equal in measure.
This is a crucial property in geometry that helps in solving various problems involving angles.

Test: Lines & Angles - Question 9
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If the measure of angle A is 3 times that of angle B and they are supplementary, what is the measure of angle A?

Detailed Solution: Question 9

Let angle B = x, then angle A = 3x.
Since they are supplementary: x + 3x = 180º, which simplifies to 4x = 180º.
Thus, x = 45º and angle A = 3x = 135º.

Test: Lines & Angles - Question 10
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In triangle DEF, if angle D = 45º and angle E = 45º, what is angle F?

Detailed Solution: Question 10

The sum of the angles in a triangle is 180º.
Thus, angle F can be calculated as follows:
Angle F = 180º - (45º + 45º) = 180º - 90º = 90º.

Test: Lines & Angles - Question 11
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If angle A measures 5x and angle B measures 3x, and they form a linear pair, what is the value of x?

Detailed Solution: Question 11

Since angles A and B are a linear pair, their sum is 180º.
Setting up the equation: 5x + 3x = 180º gives us 8x = 180º.
Thus, x = 22.5º, and substituting back, angle A = 112.5º and angle B = 67.5º.

Test: Lines & Angles - Question 12
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What can be concluded about the angles of a triangle if one angle measures 90º?

Detailed Solution: Question 12

If one angle of a triangle measures 90º, it is classified as a right triangle.
This type of triangle has unique properties, including the Pythagorean theorem applicable to its sides.

Test: Lines & Angles - Question 13
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In triangle XYZ, if angle X is twice the measure of angle Y, and angle Z is 30°, what are the measures of angles X and Y?

Detailed Solution: Question 13

Let angle Y = x, then angle X = 2x. Using the angle sum property, 2x + x + 30° = 180° gives 3x = 150°, so x = 50°. Therefore, angle Y = 50° and angle X = 100°.

Test: Lines & Angles - Question 14
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If angle A measures 3y, angle B measures 2y, and angle C measures y in a triangle, find the value of y.

Detailed Solution: Question 14

Using the angle sum property: 3y + 2y + y = 180º gives us 6y = 180º, leading to y = 30º.
Thus, the angles are 90º, 60º, and 30º respectively.

Test: Lines & Angles - Question 15
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In triangle PQR, if angle P = 60º and angle Q = 30º, what is angle R?

Detailed Solution: Question 15

Using the triangle angle sum property: angle P + angle Q + angle R = 180º.
Thus: 60º + 30º + angle R = 180º, leading to angle R = 180º - 90º = 90º.

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About this Class 9 Practice Test

This test contains 15 MCQs on Lines & Angles with detailed solutions for each question. It is part of the 6 Months Preparation for Class 9 (CBSE) course on EduRev, designed to align with the current Class 9 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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If you found this Lines & Angles MCQ Test helpful, you can further enhance your Class 9 preparation with in-depth courses on EduRev, for all the subjects and topics available in 6 Months Preparation for Class 9 (CBSE) course. The course offers:
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