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BARSIC [14]
3 years ago
5

In the diagram, m ∥ n and m and n are cut by transversal p. Which angle pairs are congruent? Check all that apply. ∠1 and ∠5 ∠3

and ∠8 ∠6 and ∠4 ∠8 and ∠2 ∠4 and ∠7​

Mathematics
2 answers:
LenKa [72]3 years ago
6 0

Answer:

The answer is

1. ∠1 and ∠5

2. ∠6 and ∠4

3. ∠8 and ∠2

Step-by-step explanation:

I just did this and got it right.

Svetach [21]3 years ago
5 0

Answer:

<h2>∠1 and ∠5</h2><h2>∠6 and ∠4</h2><h2>∠8 and ∠2</h2>

Step-by-step explanation:

The image is attached.

According to geometry, when a transversal crosses one pair of parallels, that set-up give 8 angles which are related each other, we know these angles as

  • Alternate interior angles
  • Alternate exterior angles.
  • Corresponding angles.
  • Vertical Angles.

These pair of angles are characterized for being congruent.

According to the graph, ∠1 and ∠5 are congruent, they are corresponding angles, because they are in the same side of the transversal, one interior to parallels, one exterior to parallel.s

Also, ∠6 and ∠4 are congruent, because they are alternate interior angles, they are on different sides of the transversal and inside parallels.

∠8 and ∠2 are congruent, because they are alternate exterior angles, they are on different sides of the transversal and outside parallels.

Therefore, the right choices are ∠1 and ∠5, ∠6 and ∠4, and ∠8 and ∠2

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