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 sum of the given angles ($72^{\circ}+ 108^{\circ}=180^{\circ}$) are same - side interior angles. The converse of the same - side interior angles theorem states that if same - side interior angles are supplementary, the lines are parallel.

Answer:

converse of the same side interior angles theorem