Question

which angles are alternate interior angles? ∠tsv and ∠uvx ∠tsv and ∠rsq ∠tsv and ∠uvs ∠tsv and ∠rsv

Explanation:

Step1: Recall alternate - interior angles definition

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

Step2: Analyze each option

• For $\angle TSV$ and $\angle UVX$, they are not alternate - interior angles as they are not in the correct relative position with respect to the transversal and the parallel - like lines.
• For $\angle TSV$ and $\angle RSQ$, they are vertical angles, not alternate - interior angles.
• For $\angle TSV$ and $\angle UVS$, they are alternate - interior angles. They are between the two lines $RT$ and $UW$ and on opposite sides of the transversal $QX$.
• For $\angle TSV$ and $\angle RSV$, they are adjacent angles, not alternate - interior angles.

Answer:

$\angle TSV$ and $\angle UVS$