Converse of Parallel Lines Theorem - Concept

Concept Concept (1)

If two lines are intersected by a transversal, then alternate interior angles, alternate exterior angles, and corresponding angles are congruent. The converse of the theorem is true as well. If two corresponding angles are congruent, then the two lines cut by the transversal must be parallel. Similarly, if two alternate interior or alternate exterior angles are congruent, the lines are parallel.

Sample Sample Problems (2)

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Converse of Parallel Lines Theorem - Problem 1
Problem 1
How to solve for a variable of alternating interior angles to make lines parallel.
Converse of Parallel Lines Theorem - Problem 2
Problem 2
How to solve for a variable of corresponding angles in order to make lines parallel.