Question

The sum of the measures of two complementary angles exceeds the difference of their measures by 72°. Find the measure of the smaller angle.

A. 18°
B. 36°
C. 54°
D. 58°

Answer 1

let one angle be x so another angle =(90-x)
now, difference between them is 72 degres
so, x-90+x=72
2x=162
x=81, and other angle=(90-81)=9 degrees
answer is 81 and 9