Question

the difference between the measures of two complementary angles is 46. determine the measures of the two angles?

Answer 1

Let the angle be x . Then its complement is 90-x. So we have

x - (90- x) = 46
x - 90 + x = 46
2x = 46 + 90 = 136
x = 136/2 = 68

x = 68 degrees  and its complement = 22 degrees