Question

which pair of angles are vertical angles?
\\( \angle w r u \\) and \\( \angle s r t \\)
\\( \angle w r s \\) and \\( \angle v r t \\)
\\( \angle v r u \\) and \\( \angle t r s \\)
\\( \angle v r t \\) and \\( \angle s r t \\)

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 $\angle WRU$ and $\angle SRT$: They are not formed by the intersection of the same two lines in an opposite - angle relationship.
• For $\angle WRS$ and $\angle VRT$: They are not opposite each other at the intersection of two lines.
• For $\angle VRU$ and $\angle TRS$: They are non - adjacent and formed by the intersection of two lines (the lines that form these angles intersect at point $R$), and they are opposite each other.
• For $\angle VRT$ and $\angle SRT$: They are adjacent angles (share a common side $RS$), not vertical angles.

Answer:

$\angle VRU$ and $\angle TRS$