Question

which angles are vertical angles? ∠str and ∠vwy ∠str and ∠utr ∠str and ∠xwy ∠str and ∠utw

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are equal in measure.

Step2: Analyze each option

• $\angle STR$ and $\angle VWY$: These angles are not formed by the intersection of the same two lines, so they are not vertical angles.
• $\angle STR$ and $\angle UTR$: These angles are adjacent angles (they share a common side and a common vertex), not vertical angles.
• $\angle STR$ and $\angle XWY$: These angles are not formed by the intersection of the same two lines, so they are not vertical angles.
• $\angle STR$ and $\angle UTW$: Lines $SU$ and $VX$ intersect at point $T$. $\angle STR$ and $\angle UTW$ are opposite each other at the intersection of these two lines, so they are vertical angles.

Answer:

$\angle STR$ and $\angle UTW$