Question

which angles are consecutive interior angles? ∠tsv and ∠wvs ∠tsv and ∠uvx ∠tsq and ∠wvx ∠rsq and ∠uvs

Explanation:

Step1: Recall definition of consecutive - interior angles

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

Step2: Analyze each option

• For $\angle TSV$ and $\angle WVS$: They lie between lines $UT$ and $RW$ and on the same side of transversal $XQ$.
• $\angle TSV$ and $\angle UVX$: $\angle UVX$ is not in the correct position to be a consecutive - interior angle with $\angle TSV$.
• $\angle TSQ$ and $\angle WVX$: These angles are not in the correct relative position for consecutive - interior angles.
• $\angle RSQ$ and $\angle UVS$: These angles are not consecutive - interior angles.

Answer:

$\angle TSV$ and $\angle WVS$