Question

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

Explanation:

Step1: Recall Vertical Angles Definition

Vertical angles are opposite angles formed by two intersecting lines, and they are equal in measure.

Step2: Analyze Each Option

• Option 1: $\angle WRS$ and $\angle VRT$: Lines $TS$ and $WV$ intersect at $R$. $\angle WRS$ and $\angle VRT$ are opposite angles formed by the intersection of $TS$ and $WV$, so they are vertical angles.
• Option 2: $\angle VRU$ and $\angle TRS$: These angles are not opposite each other formed by intersecting lines.
• Option 3: $\angle VRT$ and $\angle SRT$: $\angle VRT$ and $\angle SRT$ are adjacent angles (they share a common side $RT$ and a common vertex $R$), not vertical angles.
• Option 4: $\angle WRU$ and $\angle SRT$: These angles are not opposite each other formed by intersecting lines.

Answer:

A. $\angle WRS$ and $\angle VRT$