Question

If four times an angle is 12 degree more than twice the difference between its supplement and its complement,then find the angle,its complement and its supplement.

Answer 1

Let the angle is =x
so its supplement = 180 - x
and it's compliment = 90 - x
Now according to the question,
4x=12+2[(180-x)-(90-x)]
4x=12+2(90)
4x=192
x=48 degree
complement=90-48 = 42 degree
supplement=180-48=132 degree