Question

select the angle pair which are alternate exterior angles.

∠2 and ∠7

∠1 and ∠7

∠7 and ∠8

∠1 and ∠2

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate exterior angles are two non - adjacent exterior angles on opposite sides of a transversal.

Step2: Analyze each option

• For $\angle2$ and $\angle7$: They are non - adjacent exterior angles on opposite sides of the transversal, so they are alternate exterior angles.
• For $\angle1$ and $\angle7$: $\angle1$ is an interior angle and $\angle7$ is an exterior angle, they are not alternate exterior angles.
• For $\angle7$ and $\angle8$: They are adjacent angles, not alternate exterior angles.
• For $\angle1$ and $\angle2$: They are adjacent interior angles, not alternate exterior angles.

Answer:

$\angle2$ and $\angle7$