Question

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

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

• $\angle RSV$ and $\angle TSV$ are adjacent angles, not alternate - interior angles.
• $\angle RSV$ and $\angle WVS$: When $\overleftrightarrow{RT}$ and $\overleftrightarrow{UW}$ are parallel lines and $\overleftrightarrow{QX}$ is the transversal, $\angle RSV$ and $\angle WVS$ are non - adjacent, lie between $\overleftrightarrow{RT}$ and $\overleftrightarrow{UW}$, and are on opposite sides of $\overleftrightarrow{QX}$. So they are alternate - interior angles.
• $\angle RSV$ and $\angle RSQ$ are adjacent angles, not alternate - interior angles.
• $\angle RSV$ and $\angle TSQ$ are not alternate - interior angles.

Answer:

$\angle RSV$ and $\angle WVS$