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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