Question

The difference of two supplementary angles is 32 degrees. what are the angles

Answer 1

Supplementary means 180   

180-32=148    hope this helps

Answer 2

Supplementary angles are adjacent angles which add to 180 degrees. Let's define the angles:

Let x and y define the two angles, and let's say x is the larger of the two angles
We can write two equations:
x+y = 180 (definition of supplementary angles)
x-y = 32  (given)

Add the equations together to eliminate y:
------------
2x = 212 [divide both sides by 2]
x=106
The other angle is 180-106 = 74