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
2 answers:
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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