There are several theorems that can be used to prove parallel lines
For the given information, the best theorem is (d) converse alternate exterior angles theorem
In plane geometry, the converse alternate exterior angles theorem implies that:
- For any two lines, that is cut through by a transversal
- If the alternate exterior angles are congruent
- Then the lines are parallel
In the given diagram (see attachment)
- The transversal is line m
- The parallel lines are line j and line k
- The alternate exterior angle on both lines is 93 degrees
Because
93 degrees = 93 degrees
Then, the angles are parallel based on (d) converse alternate exterior angles theorem
Read more about converse alternate exterior angles theorem at:
https://brainly.com/question/10565830
