What measure of the complement of an angle is one fifth the measure of the angle . What is the measure of each?

Let the angle be ( x ). The complement of the angle is ( 90 - x ). According to the problem, the complement is one fifth of the angle, so we can set up the equation: ( 90 - x = \frac{1}{5}x ). Solving this gives ( x = 75 ) degrees for the angle and ( 90 - 75 = 15 ) degrees for the complement.