Question

given the information in the diagram, which theorem best justifies why lines e and f must be parallel? alternate interior angles theorem same side interior angles theorem converse of the alternate interior angles theorem converse of the same side interior angles theorem

Explanation:

The 72 - degree and 108 - degree angles are same - side interior angles. The converse of the same - side interior angles theorem states that if two lines are cut by a transversal and the same - side interior angles are supplementary (sum to 180 degrees), then the two lines are parallel. Since 72+108 = 180, this theorem justifies that lines e and f are parallel.

Answer:

converse of the same side interior angles theorem