Question

The supplement of an angle is four times the complement of the angle find the measure of the complement

Answer 1

30⁰

Explanation:

Angle = x

Complement = 90 - x

Supplement = 180 - x

Given :

180 - x = 4 (90 - x)

180 - x = 360 - 4x

3x = 180

x = 60

Complement = 90 - 60 = 30

Answer 2

The measure of the complement is 30°

Explanation:

we know that

Two angles are supplementary if their sum is equal to 180 degrees

Two angles are complementary if their sum is equal to 90 degrees

Let

x -----> the measure of an angle

we know that

180°-x=4(90°-x)

Solve for x

180°-x=360°-4x

4x-x=360°-180°

3x=180°

x=60°

Find the complement

90°-x=90°-60°=30°