Converse of the Parallel Lines Conjecture

Author:
user5162
The Parallel Lines Conjecture states that if parallel lines are cut by a transversal, then corresponding angles, alternate interior angles, and alternate exterior angles are congruent. 1. Make the corresponding angles equal. Are the lines Parallel? 2. Repeat for alternate interior and exterior angles. Are the lines Parallel? 3. For what values will the same side interior/exterior angles will the lines be Parallel?
Is the converse true?