Question

su and vx are parallel lines. which angles are adjacent angles? ∠stw and ∠xwy ∠xwt and ∠xwy ∠vwt and ∠utr ∠utw and ∠xwt

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common vertex and a common side, and have no interior points in common.

Step2: Analyze each option

• For $\angle STW$ and $\angle XWY$, they do not share a common vertex or side.
• For $\angle XWT$ and $\angle XWY$, they share a common vertex $W$ and a common side $\overrightarrow{XW}$, and have no interior - points in common.
• For $\angle VWT$ and $\angle UTR$, they do not share a common vertex or side.
• For $\angle UTW$ and $\angle XWT$, they are the same angle.

Answer:

$\angle XWT$ and $\angle XWY$