Question

which angles are adjacent angles?∠vwy and ∠utw ∠xwy and ∠stw ∠vwy and ∠vwt ∠xwy and ∠vwt

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 $\angle VWY$ and $\angle UTW$, they do not share a common vertex or side.
• For $\angle XWY$ and $\angle STW$, they do not share a common vertex or side.
• For $\angle VWY$ and $\angle VWT$, they share the common vertex $W$ and the common side $VW$. They have no interior - points in common.
• For $\angle XWY$ and $\angle VWT$, they do not share a common side.

Answer:

$\angle VWY$ and $\angle VWT$