Question

pr and su are parallel lines. which angles are vertical angles? ∠stv and ∠utq ∠stv and ∠pqo ∠stv and ∠rqt ∠stv and ∠stq

Explanation:

Step1: Recall vertical angles definition

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

Step2: Analyze each option

• For $\angle STV$ and $\angle UTQ$: Lines $SU$ and $VO$ intersect at $T$. $\angle STV$ and $\angle UTQ$ are opposite angles formed by this intersection.
• For $\angle STV$ and $\angle PQO$: No intersection of two lines creating these as vertical angles.
• For $\angle STV$ and $\angle RQT$: No intersection of two lines creating these as vertical angles.
• For $\angle STV$ and $\angle STQ$: These are adjacent angles, not vertical.

Answer:

$\angle STV$ and $\angle UTQ$