Question

which angles are alternate exterior angles? ∠pqo and ∠stv ∠stv and ∠rqo ∠rqt and ∠rqo ∠utv and ∠rqo

Explanation:

Step1: Recall definition of alternate exterior angles

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

Step2: Analyze each option

• For $\angle PQO$ and $\angle STV$: They are non - adjacent, lie outside the lines $\overleftrightarrow{SP}$ and $\overleftrightarrow{UR}$, and on opposite sides of the transversal $\overleftrightarrow{VO}$.
• $\angle STV$ and $\angle RQO$: $\angle RQO$ is not in the correct position relative to $\angle STV$ to be an alternate exterior angle.
• $\angle RQT$ and $\angle RQO$: These are adjacent angles, not alternate exterior angles.
• $\angle UTV$ and $\angle RQO$: They do not meet the criteria of alternate exterior angles.

Answer:

$\angle PQO$ and $\angle STV$