Question

an angle is four times its complement. find the angle

Answer 1

Refer to the above attachment

Answer 2

Answer.

Let first angle be x.
Then second angle be 4x.

These angles are complement.
So,
x +4x = 90
5x = 90
x = 90/5
x = 18.

Hence first angle is 18° and second angle is 72°(4×18).


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