Question

su and vx are parallel lines. which angles are alternate exterior angles? ∠str and ∠xwy ∠stw and ∠vwy ∠xwy and ∠utr ∠xwy and ∠xwt

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate - exterior angles are non - adjacent angles that lie outside two parallel lines and on opposite sides of a transversal.

Step2: Analyze each option

For $\angle STR$ and $\angle XWY$, they are not in the correct position relative to the parallel lines $SU$ and $VX$ and the transversal $RY$.
For $\angle STW$ and $\angle VWY$, they are not alternate - exterior angles.
For $\angle XWY$ and $\angle UTR$, $\angle XWY$ and $\angle UTR$ are non - adjacent, lie outside the parallel lines $SU$ and $VX$ and on opposite sides of the transversal $RY$.
For $\angle XWY$ and $\angle XWT$, they are adjacent angles.

Answer:

$\angle XWY$ and $\angle UTR$