Question

The complement of an angle is 1/4 of its supplement. Find the angle

Answer 1

Let angle be x.
Now,
Complement of angle will be 90-x .
And, Supplement of the angle = 180- x.
As per the question,
90-x = 1/4(180-x)
4(90-x) = 180-x
360 - 4x = 180 - x
3x = 180
x = 60.
So, the required angle will be 60°.

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Answer 2

Let angle be x.

Now,

Complement of angle will be 90-x .

And, Supplement of the angle = 180- x.

As per the question,

90-x = 1/4(180-x)

4(90-x) = 180-x

360 - 4x = 180 - x

3x = 180

x = 60.

So, the required angle will be 60°.