Let's make variables for two angles first. One angle will be x, and the other will be y.
Since they're supplementary, we know x + y = 180
We also know x = y - 32, since it's 32 degrees less than it's supplement.
Input the value of x into the first equation and...
y - 32 + y = 180
2y - 32 = 180
Add 32 to both sides:
2y = 212
Divide both sides by 2:
y = 106
We can solve for x in two ways.
One, we can subtract 32 from 106 since x is 32 degrees less.
Or, we could also just subtract 106 from 180 since we know the angles are supplementary.
x = 74
74 degrees and 106 degrees. The equation is y - 32 + y = 180, or x + y = 180
