Question

Find an angle whose complement is one fourth of its supplement

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