Question

which is a pair of vertical angles?
∠vru and ∠srt
∠trs and ∠vrw
∠trv and ∠wru
∠wrv and ∠srw

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

• For $\angle VRU$ and $\angle SRT$, they are not opposite each other at the intersection of lines.
• For $\angle TRS$ and $\angle VRW$, they are not vertical angles as they are not formed by the intersection of the same two - line pairs in the correct way.
• For $\angle TRV$ and $\angle WRU$, they are formed by the intersection of two lines and are opposite each other. So they are vertical angles.
• For $\angle WRV$ and $\angle SRW$, they are adjacent angles, not vertical angles.

Answer:

$\angle TRV$ and $\angle WRU$