I totally forgot how to do this and was wondering if someone could explain for me. I can't remember how to figure out the 130 degree angle in the picture i've put up.
refer to the modified diagram below:
the blue angles are alternate interior angles, and so, have the same measure
the red angle is the third angle of a triangle. since the angles in a triangle add up to 180 degrees, this angle is equal to 180 - (the sum of the other 2 angles).
when it's all said and done, the desired angle is $\displaystyle \underbrace{180 - 50 - 32}_{\text{the angles in the triangle}} + \underbrace{32}_{\text{the lower blue angle}} = 130$