Question

which angles are alternate interior angles? ∠uvs and ∠wvx ∠uvs and ∠tsq ∠uvs and ∠wvs ∠uvs and ∠tsv

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are formed when a transversal intersects two lines. They are on the interior of the two lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle UVS$ and $\angle WVX$, they are vertical angles.
• For $\angle UVS$ and $\angle TSQ$, they are corresponding angles.
• For $\angle UVS$ and $\angle WVS$, they are adjacent angles.
• For $\angle UVS$ and $\angle TSV$, they are on the interior of the two lines $RT$ and $UW$ and on opposite sides of the transversal $QX$, so they are alternate - interior angles.

Answer:

$\angle UVS$ and $\angle TSV$