Question

If the complement of an angle is equal to the supplement of four times the angle, then find the measure of the angle.

Answer 1

Explanation:

Note that:

Two angles are Complementary when they add up to 90 degrees

Two angles are supplementary when they add up to 180 degrees

Let the angle = x

If the complement of an angle is equal to the supplement of four times the angle, then find the measure of the angle.

90 - x = 180 - 4x