given the information in the diagram, which theorem best justifies why lines j and k must be…

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

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

Answer

Explanation:

Step1: Identify angle - type

The given angles are on the outer side of the two lines (j) and (k) and on the opposite sides of the transversal (m). These are alternate exterior angles.

Step2: Recall parallel - line theorem

We are given the measure of the angles and we want to prove the lines are parallel. The theorem that uses equal alternate exterior angles to prove two lines are parallel is the converse alternate exterior angles theorem.

Answer:

converse alternate exterior angles theorem