# An angle is one-fifth of its supplement find the measure of the angle

Two angles are said to be supplementary angles if they add up to 180 degrees. Supplementary angles form a straight angle (180 degrees) when they are put together as adjacent angles.

## Answer: An angle which is one-fifth of its supplement is 30°

Let's evaluate the following

**Explanation:**

Let's assume angle A and its supplement angle as B.

Then, A + B = 180°

Since, angle A is one-fifth of angle B

Therefore, A = B/5

WKT,

A + B = 180°

By substituting A = B/5 we get,

=> B/5 + B = 180°

=> 6B/5 = 180°

=> B = (180° × 5)/6

=> B = 30° × 5

=> B = 150°

Now, calculate the value of angle A by using A = B/5

A = 150°/5

=> A= 30°