Question

rt and uw are parallel lines.
which angles are alternate interior angles?
∠wvx and ∠rsq ∠uvs and ∠uvx
∠rsv and ∠rsq ∠tsv and ∠uvs

Explanation:

To determine alternate interior angles, we recall the definition: alternate interior angles are formed when a transversal crosses two parallel lines, lying between the two parallel lines and on opposite sides of the transversal.

• For $\angle WVX$ and $\angle RSQ$: $\angle WVX$ is outside the region between $RT$ and $UW$, so not interior.
• For $\angle UVS$ and $\angle UVX$: These share a common side and vertex, likely adjacent or forming a linear pair, not alternate interior.
• For $\angle RSV$ and $\angle RSQ$: These are adjacent angles at vertex $S$, not formed by the transversal with the two parallel lines in the interior - opposite - side manner.
• For $\angle TSV$ and $\angle UVS$: $RT \parallel UW$, transversal is $QX$. $\angle TSV$ is between $RT$ and $UW$, on one side of $QX$; $\angle UVS$ is between $RT$ and $UW$, on the opposite side of $QX$. So they fit the definition of alternate interior angles.

Answer:

$\angle TSV$ and $\angle UVS$