Question

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​

Answer 1

The answer is

1. ∠1 and ∠5

2. ∠6 and ∠4

3. ∠8 and ∠2

Explanation:

I just did this and got it right.

Answer 2

∠1 and ∠5

∠6 and ∠4

∠8 and ∠2

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