Two angles are supplementary. The difference between their measures is 82. Set up the system

Answer 1

Let the angles be a and b.

If they are supplementary, then, by definition, meas a+meas b=180

Difference means subtraction. We don't know which angle is larger, so we can just pick one, giving us

a-b=82

Those two equations are the system. You can then solve by either elimination or substitution.