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:

Answer:

D. converse of the same side interior angles theorem

(Note: The sum of 72° and 108° is 180°, so they are supplementary 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, then the lines are parallel. So the theorem that best justifies lines e and f being parallel is the converse of the same - side interior angles theorem.)