if an angle is four times a complement what is the measure of the angle

Question

The options are 

18°

15°

72°

75°

 

Answer 1

Compliments add up to 90 degrees. In order for one to be 4 times its compliment, there must be 5 total parts.

 

90/5 = 18

 

The smaller angle is 18, while the angle you want is 4(18) or 90 - 18 = 72