Question

select all the pairs of alternate exterior angles.
∠rsv and ∠rsq ∠uvx and ∠tsq
∠uvx and ∠rsv ∠uvx and ∠rsq

Explanation:

Step1: Recall Alternate Exterior Angles

Alternate exterior angles are formed when a transversal crosses two parallel lines. They lie outside the two lines and on opposite sides of the transversal.

Step2: Analyze Each Pair

• $\angle RSV$ and $\angle RSQ$: These share a common side and vertex, not alternate exterior.
• $\angle UVX$ and $\angle TSQ$: $\angle UVX$ is outside the lines $RT$ and $UW$, $\angle TSQ$ is outside on the opposite side of transversal $QX$. Check if lines are parallel (implied by diagram structure). So this is a pair.
• $\angle UVX$ and $\angle RSV$: $\angle RSV$ is inside the region between lines, not exterior.
• $\angle UVX$ and $\angle RSQ$: $\angle RSQ$ is adjacent, not alternate exterior.

Answer:

$\angle UVX$ and $\angle TSQ$