Question

1. which pair of angles are same - side exterior angles? ∠7 and ∠2 ∠8 and ∠2 ∠6 and ∠4 ∠5 and ∠1

Explanation:

Step1: Recall the definition of same - side exterior angles

Same - side exterior angles are two angles that are on the same side of the transversal and outside the two lines.

Step2: Analyze each option

• For $\angle7$ and $\angle2$: $\angle7$ is outside line $m$ and $\angle2$ is outside line $l$. They are on the same side of the transversal $t$.
• For $\angle8$ and $\angle2$: $\angle8$ is inside the region between the two lines (not exterior).
• For $\angle6$ and $\angle4$: $\angle6$ is inside the region between the two lines (not exterior).
• For $\angle5$ and $\angle1$: $\angle5$ is inside the region between the two lines (not exterior).

Answer:

$\angle7$ and $\angle2$