Question

The sum of the measures of two complementary angles exceeds the difference of the measures by 72 degrees find the measure of the smaller angle

Answer 1

Complementary angles are angles whose sum are equal to 90 degree. So

Let x be the one angle

And y be the second angle

X +y = 90

X – y = 90 -72 = 18

Adding the two equation

2x = 108

X = 54

Y = 90 -54 = 36 degrees is the smaller angle