Question

select all the pairs of consecutive interior angles.
∠wvs and ∠tsv
∠uvx and ∠tsq
∠rsv and ∠uvs
∠uvs and ∠wvs

Explanation:

Step1: Recall definition of consecutive - interior angles

Consecutive - interior angles are pairs of angles that lie between two lines and on the same side of a transversal.

Step2: Analyze each pair

• For $\angle WVS$ and $\angle TSV$: They are adjacent angles formed by the intersection of lines and a transversal, not consecutive - interior.
• For $\angle UVX$ and $\angle TSQ$: They are not between the relevant lines and on the same - side of a transversal, so not consecutive - interior.
• For $\angle RSV$ and $\angle UVS$: These angles lie between lines $UR$ and $WT$ and on the same side of transversal $XQ$, so they are consecutive - interior angles.
• For $\angle UVS$ and $\angle WVS$: These angles lie between lines $UR$ and $WT$ and on the same side of transversal $XQ$, so they are consecutive - interior angles.

Answer:

$\angle RSV$ and $\angle UVS$, $\angle UVS$ and $\angle WVS$