Question

1. name one pair of alternate exterior angles.
2. from the question on the left, choose your answer here.

a. ∠1 and ∠4
b. ∠2 and ∠3
c. ∠4 and ∠5
d. ∠7 and ∠4

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

• Option A: $\angle1$ and $\angle4$: $\angle1$ is above the upper line and $\angle4$ is below the lower line. But they are not in the correct position (not on opposite sides of the transversal in the alternate exterior sense).
• Option B: $\angle2$ and $\angle3$: $\angle2$ is below the upper line and $\angle3$ is above the lower line. They are not alternate exterior angles.
• Option C: $\angle4$ and $\angle5$: These are adjacent angles (they share a common side), so they are not alternate exterior angles.
• Option D: $\angle7$ and $\angle4$: $\angle7$ is outside the upper line and $\angle4$ is outside the lower line, and they are on opposite sides of the transversal.

Answer:

D. $\angle7$ and $\angle4$