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Suppose AB || MN. Name all angles congruent to <8

*It’s question 8 in the picture!!!!

Suppose AB || MN. Name all angles congruent to <8 *It’s question 8 in the picture-example-1
User GGamba
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1 Answer

8 votes

Answer:

7. (∠2, ∠8), (∠3, ∠5)

8. ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8

Explanation:

7.

Interior angles are those angles that are between the parallel lines. Here, those are angles 2, 3, 5, 8. Alternate angles are ones on opposite sides of the transversal. All of angles 3, 4, 7, 8 are opposite any of angles 1, 2, 5, 6.

The term "alternate interior angles" refers to angles that do not share a vertex. While angles 2 and 3 are both interior and alternate, they are not considered to be "alternate interior" angles. Rather, angles 2 and 3 are adjacent angles that form a linear pair.

Then alternate interior angle pairs are ∠2, ∠8; and ∠3, ∠5.

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8.

In the figure shown, all even-numbered angles are congruent. That means angles congruent to ∠8 are ∠2, ∠4, ∠6.

User Glisu
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