Question

identifying vertical angles
which is a pair of vertical angles?
∠trv and ∠wru
∠wrv and ∠srw
∠vru and ∠srt (marked with red x)
∠trs and ∠vrw

Explanation:

Step1: Recall vertical angles definition

Vertical angles are opposite angles formed by two intersecting lines, they are equal and share a common vertex.

Step2: Analyze each option

• Option 1: $\angle TRV$ and $\angle WRU$ – Not vertical (no opposite intersection).
• Option 2: $\angle WRV$ and $\angle SRW$ – Share a common side, not vertical.
• Option 3: $\angle VRU$ and $\angle SRT$ – Not opposite (intersection check fails).
• Option 4: $\angle TRS$ and $\angle VRW$ – Formed by intersecting lines $TS$ and $VW$ at $R$, opposite angles.

Answer:

$\angle TRS$ and $\angle VRW$ (the fourth option: $\angle TRS$ and $\angle VRW$)