Question

Decide if you are given enough information to prove that the quadrilateral is a parallelogram. Consecutive angles are supplementary.

Answer 1

Hint: Imagine you have two lines m and n. They are then cut by a transversal line. Now call two angles on the same side and on the interior angles p and q. If p and q are supplementary, then the lines p and q are parallel by the same side interior angles converse

this is shown in the diagram below