Question

use the figure below to answer the following question.
what is a pair of alternate exterior angles?
∠4 and ∠1
∠4 and ∠6
∠4 and ∠7
∠4 and ∠8

Explanation:

Step1: Recall alternate exterior angles definition

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 $\angle4$ and $\angle1$: They are adjacent (form a linear pair), so not alternate exterior angles.
• For $\angle4$ and $\angle6$: $\angle4$ is outside the two non - parallel lines (assuming the two slanted lines are the ones we consider) and on one side of the transversal (the horizontal line), $\angle6$ is outside the two non - parallel lines and on the opposite side of the transversal.
• For $\angle4$ and $\angle7$: $\angle7$ is not in the correct position (not on the opposite side of the transversal relative to $\angle4$ in terms of alternate exterior).
• For $\angle4$ and $\angle8$: $\angle8$ is not in the correct position (not on the opposite side of the transversal relative to $\angle4$ in terms of alternate exterior).

Answer:

$\angle4$ and $\angle6$