Question

rt and uw are parallel lines. which angles are alternate interior angles? ∠uvs and ∠uvx ∠uvs and ∠tsq ∠uvs and ∠tsv ∠uvs and ∠wvs

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are formed when a transversal intersects two parallel lines. They are non - adjacent angles that lie between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle UVS$ and $\angle UVX$, $\angle UVX$ is not an interior angle between the parallel lines $\overleftrightarrow{RT}$ and $\overleftrightarrow{UW}$, so this is incorrect.
• For $\angle UVS$ and $\angle TSQ$, $\angle TSQ$ is not an interior angle between the parallel lines $\overleftrightarrow{RT}$ and $\overleftrightarrow{UW}$, so this is incorrect.
• For $\angle UVS$ and $\angle TSV$, $\angle TSV$ and $\angle UVS$ are adjacent, so this is incorrect.
• For $\angle UVS$ and $\angle WVS$, $\angle UVS$ and $\angle WVS$ are non - adjacent, lie between the parallel lines $\overleftrightarrow{RT}$ and $\overleftrightarrow{UW}$, and are on opposite sides of the transversal $\overleftrightarrow{XVQ}$.

Answer:

$\angle UVS$ and $\angle WVS$