Question

Determine the measure of an angle whose measure is 17 times that of its complement.

Answer 1

85⁰

Explanation:

Angle = x

Complement = 90 - x

Given :

x = 17 (90 - x)

x = 1530 - 17x

18x = 1530

x = 1530/18 = 85⁰

Answer 2

Complement angles are angles which when added, the sum is equal to 90 degrees. In this case, we let angle one as x while angle 2 is represented by 17x. The equation then is equal to x + 17x = 90 ; 18x = 90. x from the equation is equal to 5. Hence teh angles are 5 degrees and 85 degrees