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Prove⤵️
Diagram *
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If two parallel lines are cut by a transversal,
then each pair of alternate exterior angles is congruent.
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HERE IS YOUR ANSWER. .
.The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent .
So, in the figure below, if k∥l , then
∠1≅∠7 and ∠4≅∠6 .
.Proof.
Since k∥l , by the Corresponding Angles Postulate ,
∠1≅∠5 .
Also, by the Vertical Angles Theorem,
∠5≅∠7 .
Then, by the Transitive Property of Congruence,
∠1≅∠7 .
You can prove that ∠4 and ∠6 are congruent using the same method.
PROVED
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halo ‼️‼️‼️‼️
ur solution is in the attachment ⤴️⤴️
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thank you ❤❤♠️♠️
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