A = original angle S = supplementary angle to angle A
By definition A+S = 180 since A and S are supplementary Solve for S to get S = 180-A
The original angle A is 178 degrees larger than angle S, so A = S+178 A = 180-A+178 .... replace S with 180-A A = 358-A A+A = 358-A+A ... adding A to both sides 2A = 358 2A/2 = 358/2 ... dividing both sides by 2 A = 179 The original angle is 179 degrees
Use this to find S S = 180-A S = 180-179 S = 1 The supplement to the angle A is 1 degree
Notice how the difference between angle A = 179 degrees angle S = 1 degree is exactly 178 degrees (179-1 = 178)
