Question

if the complement of an angle is one fifth of its supplement then the angle is
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Answer 1

Answer:

Let the angle be x.

Complement of the angle = (90-x)°

Supplement of the angle = (180-x)°

According to the question..

90-x=1/5× (180-x)

90-x= (180-x) /5

5 (90-x) =180-x

450-5x=180-x

450-180=-x+5x

270=4x

x=270/4

x=67. 5°

Hope this helps.