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 pairs of non - adjacent angles formed by two intersecting lines. They are opposite each other.

Step2: Analyze each option

• For $\angle WRU$ and $\angle SRT$, they are not formed by the same two intersecting lines.
• For $\angle WRS$ and $\angle VRT$, they are formed by the intersection of lines $TV$ and $UW$. They are non - adjacent and opposite each other.
• For $\angle VRU$ and $\angle TRS$, they are not vertical angles as they are not formed in the correct way by intersecting lines.
• For $\angle VRT$ and $\angle SRT$, they are adjacent angles, not vertical angles.

Answer:

$\angle WRS$ and $\angle VRT$