If supplement of an angle is 4 times of its complement find the angle - Maths - Lines and Angles

Question

If supplement of an angle is 4 times of its complement find the
angle

Ankita Agarwal · Accepted Answer

Dear Student,

Let the angle be x
Let the complement of this angle be y
Complement of angle is the sum of angles that add up to 90°
Thus, we havex+y = 90y = 90-x         
1Supplement of angle = 180-xGiven:  Supplement of angle is 4 times the complement, 180-x = 4yFrom equ
1180-x = 490-x180-x = 360-4x3x = 360-1803x=180x = 60°Hence, the angle supplement of which is 4 times its complement is 60°

Regards