Question

If the supplement of an angle is 4 times it's complement find the angle

Answer 1

Supplement of an angle = 180-x

And, Complement of an angle= 90-x

Now according to the question

⇒ 180-x = 4(90-x)

⇒ 180-x = 360 - 4x

⇒ -x + 4x = 360-180

⇒ 3x = 180

⇒ x =$\frac{180}{3}$

⇒ x = 60 degree