Question

which pair of angles are vertical angles?
○ ∠rqs and ∠squ
○ ∠rqt and ∠tqv
○ ∠rqw and ∠wqv
○ ∠rqw and ∠tqu

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are pairs of non - adjacent angles formed by two intersecting lines. They are opposite each other.

Step2: Analyze each option

• For $\angle RQS$ and $\angle SQU$, they are adjacent angles.
• For $\angle RQT$ and $\angle TQV$, they are adjacent angles.
• For $\angle RQW$ and $\angle WQV$, they are adjacent angles.
• For $\angle RQW$ and $\angle TQU$, they are non - adjacent and formed by the intersection of two lines at point $Q$. They are vertical angles.

Answer:

$\angle RQW$ and $\angle TQU$