Question

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

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

• $\angle XWT$ and $\angle VWT$ share a common side and are adjacent, not vertical.
• $\angle STW$ and $\angle STR$ share a common side and are adjacent, not vertical.
• $\angle XWY$ and $\angle VWT$: When lines $XY$ and $VS$ intersect at point $W$, $\angle XWY$ and $\angle VWT$ are opposite each other at the intersection of the two lines. They are vertical angles.
• $\angle STR$ and $\angle VWT$ are not related as vertical - angles.

Answer:

$\angle XWY$ and $\angle VWT$