Question

pr and su are parallel lines. which angles are corresponding angles? ∠stq and ∠utq ∠stq and ∠pqo ∠stq and ∠rqt ∠stq and ∠pqt

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, pairs of corresponding angles are congruent.

Step2: Analyze each option

• $\angle STQ$ and $\angle UTQ$ are adjacent angles that form a linear - pair, not corresponding angles.
• $\angle STQ$ and $\angle PQO$: $\angle PQO$ is not formed in a way related to the parallel lines $PR$ and $SU$ and the transversal in a corresponding - angle relationship.
• $\angle STQ$ and $\angle RQT$: $\angle RQT$ is not in the corresponding - angle position with respect to $\angle STQ$.
• $\angle STQ$ and $\angle PQT$: When parallel lines $PR$ and $SU$ are cut by transversal $OV$, $\angle STQ$ and $\angle PQT$ are in the same relative position (both are on the left - hand side of the transversal and above the parallel lines).

Answer:

$\angle STQ$ and $\angle PQT$