Question

ving lines parallel
given the information in the diagram, which theorem best justifies why lines j
and k must be parallel?
converse alternate interior angles theorem
alternate exterior angles theorem
alternate interior angles theorem
converse alternate exterior angles theorem

Explanation:

The converse of a theorem is used to prove that lines are parallel. Alternate exterior angles are angles that lie outside the two lines and on opposite sides of the transversal. Here, the \(93^{\circ}\) angles are alternate exterior angles. The converse of the alternate exterior angles theorem states that if two lines are cut by a transversal and the alternate exterior angles are congruent, then the two lines are parallel.

Answer:

converse alternate exterior angles theorem