Question

pr and su are parallel lines. which angles are alternate exterior angles? ∠pqo and ∠utq ∠pqo and ∠rqo ∠pqo and ∠utv ∠pqo and ∠rqt

Explanation:

Step1: Recall alternate exterior angles definition

Alternate exterior angles are non - adjacent angles that lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle PQO$ and $\angle UTQ$: $\angle UTQ$ is not in the correct position (not on the opposite side of the transversal as required for alternate exterior with $\angle PQO$).
• For $\angle PQO$ and $\angle RQO$: These are adjacent angles (not alternate exterior).
• For $\angle PQO$ and $\angle UTV$:
• $\overleftrightarrow{PR}\parallel\overleftrightarrow{SU}$ and $\overleftrightarrow{OV}$ is the transversal.
• $\angle PQO$ and $\angle UTV$ lie outside the parallel lines $\overleftrightarrow{PR}$ and $\overleftrightarrow{SU}$ and on opposite sides of the transversal $\overleftrightarrow{OV}$.
• For $\angle PQO$ and $\angle RQT$: These are not in the alternate exterior position (relationship is not that of alternate exterior angles).

Answer:

$\angle PQO$ and $\angle UTV$