Give a real life example of a supplementary angle, vertical angle, Alternate interior angles, Alternate exterior angles. Attach pictures please.

a ladder, a railroad track, and a window. also the angle that a tree branch makes in correspondance to the tree trunk, assuming that the tree trunk is 180 degrees

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.