Question

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

Explanation:

• Alternate exterior angles are angles that lie outside the two lines and on opposite sides of the transversal.
• The converse of a theorem is used to prove that two lines are parallel. Here, since the alternate exterior angles (both \(93^{\circ}\)) are equal, we use the converse of the alternate exterior angles theorem. The alternate exterior angles theorem states that if two parallel lines are cut by a transversal, then alternate exterior angles are equal. Its converse is used to establish parallelism when alternate exterior angles are equal.

Answer:

converse alternate exterior angles theorem