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 in
tersection 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? a) alternate interior angles theorem b) alternate exterior angles theorem c) converse alternate interior angles theorem d) converse alternate exterior angles theorem
2 answers:
Answer:
b) alternate exterior angles theorem
Step-by-step explanation:
When two lines are cut by a transversal, the alternate exterior angles are congruent. In the first diagram:
- x and y are congruent
- a and b are congruent
Comparing with our given lines, j, k and m.
We can see that the two given angles are in the same position as in the first image. Therefore, lines j and k are parallel by the alternate exterior angles theorem.
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