Question

1

Answer 1

Answer:

The measure of the angle is 36°

Step-by-step explanation:

Let the measure of angle be x

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

So, Supplement of x = 180°-x°

Complementary angles  A pair of angles whose sum is 90° is called complementary angles

So, Complement of x = 90°-x°

We are given that Three times the measure of a supplement of an angle is eight times the measure of a complement of the angle

So, 3(180-x)=8(90-x)

540-3x=720-8x

8x-3x=720-540

5x=180

x=36

So,  the measure of the angle is 36°