Question

tv and wy are parallel lines. which angles are alternate interior angles? ∠wxu and ∠tus ∠wxu and ∠tux ∠wxu and ∠vux ∠wxu and ∠yxu

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 $\angle WXU$ and $\angle TUS$, $\angle TUS$ is not an interior angle between the parallel lines $\overleftrightarrow{WY}$ and $\overleftrightarrow{TV}$.
• For $\angle WXU$ and $\angle TUX$, $\angle TUX$ is not an alternate angle to $\angle WXU$.
• For $\angle WXU$ and $\angle VUX$, $\angle WXU$ and $\angle VUX$ are non - adjacent, lie between the parallel lines $\overleftrightarrow{WY}$ and $\overleftrightarrow{TV}$, and are on opposite sides of the transversal $\overleftrightarrow{ZS}$.
• For $\angle WXU$ and $\angle YXU$, $\angle YXU$ is adjacent to $\angle WXU$.

Answer:

$\angle WXU$ and $\angle VUX$