Question

If an angle is 45° more than half of its complement, find the measure of the angle?

Answer 1

Answer:

45°

Step-by-step explanation:

let it's complement is x

and two complementary angles always add up to 90° so,

x/2 + (x/2 + 45) = 90

x/2 + (x + 90)/2 = 90

90+ 2x / 2 = 90

90+ 2x = 180

2x= 90

x= 45°