Math, asked by Anonymous, 10 months ago

ello....❤️❤️100❤️❤️

Prove⤵️

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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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Answers

Answered by Anonymous
3

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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Answered by liza10987654321
3

halo ‼️‼️‼️‼️

ur solution is in the attachment ⤴️⤴️

✌✌✌✌✌✌✌✌✌

thank you ❤❤♠️♠️

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