The measure of an angle is five times its complement. The angle measures
(a) 25∘
(b) 35∘
(c) 65∘
(d) 75∘
ANSWER:
(d) 75∘
Let the measure of the required angle be x.
Then, the measure of its complement will be 90-x.
∴x=590-x⇒x=450-5x⇒6x=450⇒x=75