Question

You can represent the measures of an angle and its complement as x° and (90 − x)°. similarly, you can represent the measures of an angle and its supplement as x° and (180 − x)°. use these expressions to find the measures of the angles described. the measure of an angle increased by 26° is equal to the measure of its complement. the measure of the angle is ___° and the measure of its complement is ____°.

Answer 1

x + 26 = 90 - x
x + x = 90 - 26
2x = 64
x = 64/2
x = 31 <=== angle x

90- x = 90 - 31 = 59 <== its complement