Question

which angles are vertical angles? ∠rqt and ∠rqo ∠utq and ∠rqt ∠pqt and ∠utv ∠pqt and ∠rqo

Explanation:

Step1: Recall vertical - angles definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

• $\angle RQT$ and $\angle RQO$ share a common side and are adjacent, not vertical.
• $\angle UTQ$ and $\angle RQT$ share a common side and are adjacent, not vertical.
• $\angle PQT$ and $\angle UTV$ are not related by the intersection of the same two - line pairs.
• $\angle PQT$ and $\angle RQO$ are formed by the intersection of two lines. They are opposite each other at the intersection point $Q$.

Answer:

$\angle PQT$ and $\angle RQO$