An angle 25 degrees less than measure of it's complement what is the measurement of the smaller angle?

Sagot :

Let complement of the angle be x
     the angle x-25

Sum of the measure of two complementary angles is 90 degrees.

Equation:
(x) + (x-25) = 90
2x - 25 = 90
2x = 90 + 25
2x/2 = 115

x = 57.5 degrees, measure of the smaller angle's complement

x-25 = smaller angle
57.5 - 25 = 32.5 degrees, measure of the smaller angle

To check:
57.5 + 32.5 = 90