Question

pr and su are parallel lines. which angles are vertical angles? ∠pqt and ∠rqt ∠rqo and ∠pqt ∠utq and ∠pqt ∠rqo and ∠stq

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 $\angle PQT$ and $\angle RQT$: These are adjacent angles (they share a common side $QT$), so they are not vertical angles.
• For $\angle RQO$ and $\angle PQT$: These are non - adjacent angles formed by the intersection of lines $PR$ and $OV$. They are opposite each other.
• For $\angle UTQ$ and $\angle PQT$: These are not formed by the intersection of the same two lines in the required non - adjacent, opposite - each - other way.
• For $\angle RQO$ and $\angle STQ$: These are not formed by the intersection of the same two lines in the required non - adjacent, opposite - each - other way.

Answer:

$\angle RQO$ and $\angle PQT$