Question

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

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are a pair of non - adjacent angles formed by the intersection of two lines. They are opposite each other.

Step2: Analyze each option

• For $\angle VRU$ and $\angle TRS$: They are not formed by the intersection of two lines in the required non - adjacent, opposite way.
• For $\angle VRT$ and $\angle SRT$: These are adjacent angles (share a common side), so not vertical angles.
• For $\angle WRS$ and $\angle VRT$: $\angle WRS$ and $\angle VRT$ are vertical angles. When two lines intersect (in this case, the line with points \(T - R - W\) and the line with points \(V - R - S\)), $\angle WRS$ and $\angle VRT$ are non - adjacent and opposite each other.
• For $\angle WRU$ and $\angle SRT$: They are not formed by the intersection of two lines in the vertical - angle - forming way.

Answer:

\(\angle WRS\) and \(\angle VRT\)