# Two angles are making a linear pair. If one of them is one-third of the other, find the angles

**Solution:**

Given, two angles make a linear pair.

One of them is one-third of the other.

We have to find the angles.

__Linear pairs of angles__ are formed when two lines intersect each other at a single point.

Let one angle be x

According to the question,

Other angle = 1/3(x)

Linear pair angles are __supplementary angles__ as their sum is 180°.

So, x + 1/3(x) = 180°

x[(3 + 1)/3)] = 180°

x(4/3) = 180°

4x = 180°(3)

x = 180°(3)/4

x = 90°(3)/2

x = 45°(3)

x = 135°

Other angle = 1/3(135°)

= 45°

Therefore, the angles are 135° and 45°.

**✦ Try This: **Two angles are making a linear pair. If one of them is one-fifth of the other, find the angles

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 5

**NCERT Exemplar Class 7 Maths Chapter 5 Problem 97**

## Two angles are making a linear pair. If one of them is one-third of the other, find the angles

**Summary:**

Two angles are making a linear pair. If one of them is one-third of the other, the angles are 135° and 45°.

**☛ Related Questions:**

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