Question

$\overleftrightarrow{pr}$ and $\overleftrightarrow{su}$ are parallel lines.

which angles are alternate interior angles?

$\angle utq$ and $\angle pqt$ $\angle pqt$ and $\angle rqt$

$\angle stv$ and $\angle utv$ $\angle rqo$ and $\angle pqo$

Explanation:

Step1: Recall alternate interior angles definition

Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• Option 1: \( \angle UTQ \) and \( \angle PQT \): \( PR \parallel SU \), transversal is \( OV \). \( \angle UTQ \) and \( \angle PQT \) are between \( PR \) and \( SU \), on opposite sides of \( OV \). This fits alternate interior angles.
• Option 2: \( \angle PQT \) and \( \angle RQT \): These are adjacent angles forming a linear pair (supplementary), not alternate interior.
• Option 3: \( \angle STV \) and \( \angle UTV \): These are adjacent angles forming a linear pair (supplementary), not alternate interior.
• Option 4: \( \angle RQO \) and \( \angle PQO \): These are adjacent angles forming a linear pair (supplementary), not alternate interior.

Answer:

\( \angle UTQ \) and \( \angle PQT \)