Question

pr and su are parallel lines. which angles are corresponding angles? ∠rqo and ∠stq ∠rqo and ∠utq ∠rqo and ∠utv ∠rqo and ∠rqt

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the parallel lines and the transversal. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Analyze each option

• For $\angle RQO$ and $\angle STQ$: $\angle RQO$ and $\angle STQ$ are corresponding angles. They are in the same relative position (above the parallel lines $\overleftrightarrow{PR}$ and $\overleftrightarrow{SU}$ and on the same - side of the transversal $\overleftrightarrow{VO}$).
• For $\angle RQO$ and $\angle UTQ$: $\angle RQO$ and $\angle UTQ$ are not corresponding angles.
• For $\angle RQO$ and $\angle UTV$: $\angle RQO$ and $\angle UTV$ are not corresponding angles.
• For $\angle RQO$ and $\angle RQT$: $\angle RQO$ and $\angle RQT$ are adjacent angles, not corresponding angles.

Answer:

$\angle RQO$ and $\angle STQ$