example. Given that A and B are supplementary angles. If A = 30 degrees, what is B?
here you would have A + B = 180 => 30 + B = 180 => B = 150 degrees
example. Given that A and B are supplementary angles measured in degrees, if A = 2x + 1 and B = x + 5, find x.
again you would set A + B = 180 => 2x + 1 + x + 5 = 180 and solve for x
the questions you get might not be that simple, but that's the gist of it. if angles are supplementary, you can equate their sum to 180 degrees or pi radians. similarly for complimentary angles, you can equate their sum to 90 degrees or pi/2 radians