Question

which angles are alternate interior angles? ∠stq and ∠stv ∠stq and ∠pqt ∠stq and ∠rqt ∠stq and ∠utv

Explanation:

Step1: Recall alternate - interior angles definition

Alternate interior angles are formed when a transversal intersects two lines. They are on the interior of the two lines and on opposite sides of the transversal.

Step2: Analyze each option

• $\angle STQ$ and $\angle STV$ are adjacent angles, not alternate - interior.
• $\angle STQ$ and $\angle PQT$ are on the interior of the two lines formed by the transversal and on opposite sides of the transversal.
• $\angle STQ$ and $\angle RQT$ are not in the correct position for alternate - interior angles.
• $\angle STQ$ and $\angle UTV$ are not alternate - interior angles.

Answer:

$\angle STQ$ and $\angle PQT$