Question

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

Explanation:

The given angles are on the outer - sides of the two lines \(j\) and \(k\) and on the opposite sides of the transversal \(m\). The converse of a theorem is used to prove lines are parallel when given angle - equalities. 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. Here, the two \(93^{\circ}\) angles are alternate exterior angles and since they are equal, we can use the converse alternate exterior angles theorem to prove \(j\) and \(k\) are parallel.

Answer:

converse alternate exterior angles theorem