Question

which angles are adjacent angles? ∠pqt and ∠rqt ∠pqt and ∠utq ∠pqt and ∠stq ∠stq and ∠rqo

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common vertex and a common side, and have no interior points in common.

Step2: Analyze each pair

For $\angle PQT$ and $\angle RQT$: They share the common vertex $Q$ and the common - side $\overrightarrow{QT}$, and have no interior points in common.
For $\angle PQT$ and $\angle UTQ$: They do not share a common side.
For $\angle PQT$ and $\angle STQ$: They do not share a common side.
For $\angle STQ$ and $\angle RQO$: They do not share a common vertex or a common side.

Answer:

$\angle PQT$ and $\angle RQT$