Question

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

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are angles that are in the same relative position at each intersection where a straight line crosses two others. When two parallel lines (\(\overleftrightarrow{PR}\) and \(\overleftrightarrow{SU}\)) are cut by a transversal (\(\overleftrightarrow{VO}\)).

Step2: Analyze each option

• For \(\angle PQO\) and \(\angle UTV\): \(\angle UTV\) and \(\angle PQO\) are not in the same relative position.
• For \(\angle UTQ\) and \(\angle PQO\): \(\angle UTQ\) and \(\angle PQO\) are alternate - interior angles (not corresponding).
• For \(\angle PQO\) and \(\angle RQO\): These are adjacent angles (not corresponding).
• For \(\angle STQ\) and \(\angle PQO\): \(\angle STQ\) and \(\angle PQO\) are in the same relative position (upper - right at their respective intersections) with respect to the parallel lines \(\overleftrightarrow{PR}\), \(\overleftrightarrow{SU}\) and the transversal \(\overleftrightarrow{VO}\).

Answer:

\(\angle STQ\) and \(\angle PQO\)