Question

1. which pair of angles are alternate exterior angles? ∠8 and ∠2 ∠5 and ∠4 ∠7 and ∠2 ∠5 and ∠1

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent angles that lie outside the two lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle8$ and $\angle2$: $\angle8$ is not in the correct position relative to $\angle2$ to be alternate exterior angles.
• For $\angle5$ and $\angle4$: $\angle5$ is not outside the relevant lines in a way to form alternate exterior angles with $\angle4$.
• For $\angle7$ and $\angle2$: $\angle7$ lies outside the lines $l$ and $m$ and on the opposite side of the transversal $t$ compared to $\angle2$.
• For $\angle5$ and $\angle1$: $\angle5$ is not in the correct position relative to $\angle1$ to be alternate exterior angles.

Answer:

$\angle7$ and $\angle2$