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Question

An angle which is four times its complement. Find the angle.


Solution

Let the angle be x degrees
It's compliment = 90-x
As per question,
x = 4(90-x)
x = 360 - 4x
x+4x = 360
5x = 360
 x=3605 = 72 degrees.
Compliment of 72 degrees = 90-72 = 18 degrees
72 is 4 times 18. So, it is correct.

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