Converse of the Parallel Lines Conjecture

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. [br][br]1. Make the corresponding angles equal. Are the lines Parallel?[br]2. Repeat for alternate interior and exterior angles. Are the lines Parallel?[br]3. For what values will the same side interior/exterior angles will the lines be Parallel?
Is the converse true?

Information: Converse of the Parallel Lines Conjecture