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)
