Question

Find the measure of an angle whose supplement measures five times its measure.

The angle measure ___ degrees.

Answer 1

30°

Explanation:

supplementary angles are two sets of angles whose sum form 180°

According to the problem, one set equals 5 times the other.

Let the other be x,

It means it's compliment is 5x;

It means therefore that ;

x + 5x = 180°

6x = 180°;

x = 180°/ 6 = 30°;

Therefore the angle measures 30° and it's supplement 150°.