Let's call the measure of the angle x. We know that the angle is supplementary to another angle, which means that the two angles add up to 180 degrees. So, the other angle must be (180 - x) degrees.
We're also told that the angle measures 83.2 degrees less than its supplementary angle, which means that:
x = (180 - x) - 83.2
Simplifying this equation, we get:
2x = 96.8
x = 48.4
So, the angle measures 48.4 degrees, and its supplementary angle measures (180 - 48.4) = 131.6 degrees.