Question

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

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are the 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 $\angle PQT$ and $\angle RQO$: These are not formed by the intersection of two lines in the required way for vertical angles.
• For $\angle PQT$ and $\angle UTQ$: These are not formed by the intersection of two lines in the required way for vertical angles.
• For $\angle PQT$ and $\angle STQ$: Lines $PR$ and $SU$ are intersected by line $OV$. $\angle PQT$ and $\angle STQ$ are non - adjacent angles formed by the intersection of lines $PR$, $SU$ and $OV$. They are opposite each other.

Answer:

$\angle PQT$ and $\angle STQ$