Question

Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.
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

Answer 1

converse alternate exterior angles theorem

Reason: the given angles are alternate exterior angles (upper-left at j and bottom-right at k) and they are congruent (both 93°). By the converse of the alternate exterior angles theorem, j and k are parallel.