Choose the correct response
1 answer:
You might be interested in
<h2>Answer:</h2>
This is a theorem called Converse of Alternate Exterior Angles that states that <em>if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel</em>. Moreover, this theorem is based upon the corresponding Angles Converse Postulate that states that<em> if two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. </em>We don't need to prove this postulate, it's assume to be true. So our goal is to get corresponding angles congruent in order to use the corresponding Angles Converse Postulate,
1.
Reason: Given
Statement:
2.
Reason: Def of vertical
Statement:
3.
Reason: Def of vertical
Statement:
4.
Reason: Transitive Property
Statement:
5.
Reason: corresponding Angles Converse Postulate
Statement: