Question

select all the pairs of alternate exterior angles.
∠wvx and ∠rsq ∠wvx and ∠uvs
∠uvx and ∠tsq ∠wvs and ∠wvx

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

• $\angle WVX$ and $\angle RSQ$: $\angle WVX$ is outside the two vertical lines (UVW and RST) and on the left of the transversal XQV. $\angle RSQ$ is outside the two vertical lines and on the right of the transversal. They are alternate exterior angles.
• $\angle WVX$ and $\angle UVS$: These two angles are adjacent or related to the same vertex, not alternate exterior.
• $\angle UVX$ and $\angle TSQ$: $\angle UVX$ is outside the two vertical lines (left of transversal), $\angle TSQ$ is outside (right of transversal). They are alternate exterior angles.
• $\angle WVS$ and $\angle WVX$: These are adjacent angles, not alternate exterior.

Answer:

$\angle WVX$ and $\angle RSQ$, $\angle UVX$ and $\angle TSQ$