Question

The measure of the complement of an angle is four times the measure of the angle. What is he measure of the angle?

This question makes little sense to me, as there is no angle provided. I am assuming that 90 degrees is implied (in which case, the measure should be 22.5 degrees) but I wanted to verify. Thank you.

Answer 1

let x be the measure of the angle. then 90-x is the measure of its complement

90-x=4x
90=5x
x=18
note the complement is 72 and 72 is 4*18 as wanted. 18 is your answer