Question

su and vx are parallel lines. which angles are vertical angles? ∠utw and ∠vwy ∠utw and ∠xwy ∠utw and ∠str ∠utw 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

• $\angle UTW$ and $\angle VWY$: Not vertical angles as they are not formed by the intersection of the same two - line pair.
• $\angle UTW$ and $\angle XWY$: Not vertical angles.
• $\angle UTW$ and $\angle STR$: These two angles 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.
• $\angle UTW$ and $\angle VWT$: Not vertical angles.

Answer:

$\angle UTW$ and $\angle STR$