The measure of an angle is 1/4 the measure of its complement.

Question

find the measure of each angle.

smaller angle=

bigger angle=

Answer 1

Let x = the measure of the larger angle

Let (1/4)x = the measure of the smaller angle

x + (1/4)x = 90

(5/4) x = 90

x = 72º

(1/4)x = (1/4)(72) = 18º