given the information in the diagram, which theorem best justifies why lines e and f must be parallel…

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

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

Answer

Brief Explanations:

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 lines are parallel. Since 72+108 = 180, the converse of the same - side interior angles theorem justifies that lines e and f are parallel.

Answer:

converse of the same side interior angles theorem