Question 914846
Complementary angles. Two angles are complementary. The measure of one angle is 15 degrees more than one -half of the measure of the other. Find the measure of each angle. 

let one angle be x

the other angle is (90-x)


As per the condition

x= 15+1/2(90-x)

multiply equaton by 2

2x=30+90-x

2x+x=120
3x=120
x=40

40 & 50