2 times an angle is 32 less than 4 times it's supplement. What is the angle?

Question

2 times an angle is 32 less than 4 times it's supplement. What is the angle?

Answer 1

Supplementary angles sum to 180

x + y =180 y = 180 - x

2 times an angle is 32 less than 4 times it's supplement

2x = 4(y) -32

Substitute:

2x = 4(180 - x) -32

2x = 720 - 4x - 32

6x =688

x = 114.67

y = 65.33