Question

If an angle is half of its complement find the measure of angles

Answer 1

let angles be x and X/2
since angles are complementary
sum of 2 angles is 90°
x + x/2 = 90
3x=180
x=60

angles are 60° and 30°

Answer 2

let angles be x and x/2 .
Since angles are compliment.
sum of two angles must be 90

so,
x+x/2 =90
2x+x = 180
3x = 180
x = 60
Hence , measure of angles is 60° and 30°
Hope it helps you