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?\n\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?\n\nalternate interior angles theorem\nalternate exterior angles theorem\nconverse alternate interior angles theorem\nconverse alternate exterior angles theorem

Answer

Explanation:

Step1: Identify the position of the given angles

The two angles, both measuring $93^{\circ}$, are located on opposite sides of the transversal $m$ and outside the lines $j$ and $k$.

Step2: Classify the angle pair relationship

Angles in these positions are known as alternate exterior angles.

Step3: Determine the appropriate theorem for parallelism

The standard theorems state properties of parallel lines. The converse theorems are used to prove that lines are parallel based on angle congruency. Since we are proving $j \parallel k$ because the alternate exterior angles are equal, we use the converse.

Answer:

converse alternate exterior angles theorem