Question

which pair of angles are vertical angles?
○ $\angle wru$ and $\angle srt$
○ $\angle wrs$ and $\angle vrt$
○ $\angle vru$ and $\angle trs$
○ $\angle vrt$ and $\angle srt$

Explanation:

Vertical angles are formed when two lines intersect, and they are opposite each other, sharing a common vertex but no common side. Let's analyze each option:

• For \( \angle WRU \) and \( \angle SRT \): These do not meet the criteria of vertical angles as they don't have the correct opposite - angle relationship from intersecting lines.
• For \( \angle WRS \) and \( \angle VRT \): When lines \( TV \) and \( IW \) intersect at \( R \), \( \angle WRS \) and \( \angle VRT \) are opposite each other, share the vertex \( R \), and are formed by the intersection of two lines. So they are vertical angles.
• For \( \angle VRU \) and \( \angle TRS \): These angles do not have the correct relationship to be vertical angles.
• For \( \angle VRT \) and \( \angle SRT \): These two angles share a common side \( RT \) and are adjacent, not vertical angles.

Answer:

\( \boldsymbol{\angle WRS} \) and \( \boldsymbol{\angle VRT} \) (the option corresponding to \( \angle WRS \) and \( \angle VRT \))