Question

1

Three times the measure of a supplement of an angle is eight times the measure of a complement of the angle. What is the measure of the angle?
Type in the number only
The measure of the angle is

Answer 1

The measure of the angle is 36°

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°