Question

One third of an angle is equal to its supplement. The measure of this angle is

Answer 1

Answer:-

45°

Step-by-step explanation:

Given:An angle is equal to one third of its supplement.

To Find: Find its measure

Solution:

Supplementary angles : A pair of angles whose sum is 180° is called supplementary angles.

Let the angle be x

Supplement of x = 180°-x

We are given that An angle is equal to one third of its supplement.

$x=\frac{1}{3}(180-x)$

3x=180-x

4x=180

$x=45^{\circ}$

So, The angle is

$45^{\circ}$