Question

Your friend says that there is an angle whose measure is the same as the measure of the sum of its

supplement and its complement.

Is your friend correct? What is the measure of the angle?

, the measure of its complement is

, and the measure of its

The measure of the angle is

supplement is

Answer 1

The angle is 90°

Supplement of angle = 90°

Complement of angle = 0°

Explanation:

Let the angle be y

Supplement of angle = 180 - y

Complement of angle = 90 - y

Since measure of angle equals sum of it's complement and it's supplement, therefore;

180 - y + 90 - y = y

270 - 2y = y

270 = 3y

y = 270/3

y = 90°

Therefore the angle is 90°

Supplement of angle = 180 - 90 = 90°

Complement of angle = 90 - 90 = 0°