Question

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

Explanation:

Step1: Recall the converse alternate exterior angles theorem

The converse 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.

Step2: Identify the angles in the diagram

In the given diagram, the \(93^{\circ}\) angles are alternate exterior angles formed by lines \(j\), \(k\) and transversal \(m\).

Step3: Apply the theorem

Since the alternate exterior angles (\(93^{\circ}\) each) are congruent, by the converse alternate exterior angles theorem, lines \(j\) and \(k\) are parallel.

Answer:

converse alternate exterior angles theorem