Question

which angles are vertical angles? ∠xwt and ∠vwt ∠str and ∠utw ∠utw and ∠stw ∠xwy and ∠vwy

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

• For $\angle XWT$ and $\angle VWT$, they share a common side and are adjacent, not vertical.
• For $\angle STR$ and $\angle UTW$, they are formed by the intersection of lines $SU$ and $RY$. They are opposite each other at the intersection point $T$, so they are vertical angles.
• For $\angle UTW$ and $\angle STW$, they are adjacent angles that form a linear - pair, not vertical.
• For $\angle XWY$ and $\angle VWY$, they share a common side and are adjacent, not vertical.

Answer:

$\angle STR$ and $\angle UTW$