Question

which angles are alternate exterior angles? ∠vwt and ∠vwy ∠vwy and ∠utr ∠vwt and ∠utw ∠xwy and ∠stw

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate - exterior angles are two non - adjacent exterior angles that lie on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle VWT$ and $\angle VWY$, they share a common side and are adjacent, so they are not alternate - exterior angles.
• For $\angle VWY$ and $\angle UTR$, they are not in the correct position relative to the parallel lines and transversal for alternate - exterior angles.
• For $\angle VWT$ and $\angle UTW$, they are interior angles, not exterior angles.
• For $\angle XWY$ and $\angle STW$, they are non - adjacent exterior angles and lie on opposite sides of the transversal $RY$.

Answer:

$\angle XWY$ and $\angle STW$