An angle is equal to five times to its compliment. determine its measure.

let the angle be x.

since the sum of complimentary angles is 90 degree.

 its complement=(90-x).

according to question:

x=5(90-x)

x=450-5x

x+5x=450

6x=450, x=450/6=75

hence the required angle is 75 degree.