Question

The difference in the measures of 2 supplementary angles is 53degree. Find the measures of the angles

Answer 1

let angle is x degree

another complementary angle will be 90-x

difference between two complementary angle is 16 degree given

90-x-x =16 (given)

90-2x =16

90-16 =2x

74=2x

x=74/2

x=37 degree

another angle will be 90-x

90-37 =53 degree