Question

which pair of angles are vertical angles?
∠wru and ∠srt
∠wrs and ∠vrt
∠vru and ∠trs
∠vrt and ∠srt

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 $\angle WRU$ and $\angle SRT$, they are not formed by the intersection of two lines in the way that defines vertical angles.
• For $\angle WRS$ and $\angle VRT$, they are formed by the intersection of lines $VW$ and $TS$ at point $R$. They are opposite each other at the intersection.
• For $\angle VRU$ and $\angle TRS$, they are not vertical angles.
• For $\angle VRT$ and $\angle SRT$, they share a common side and are adjacent angles, not vertical angles.

Answer:

$\angle WRS$ and $\angle VRT$