Question

which angles are supplementary angles? ∠pqt and ∠pqo ∠pqt and ∠rqo ∠pqt and ∠stv ∠pqt and ∠utq

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles that form a straight - line are supplementary.

Step2: Analyze each option

• For $\angle PQT$ and $\angle PQO$: They are adjacent angles and together they form a straight - line $\overrightarrow{VO}$. So, $\angle PQT+\angle PQO = 180^{\circ}$.
• For $\angle PQT$ and $\angle RQO$: They are not supplementary as they do not have a sum of 180 degrees.
• For $\angle PQT$ and $\angle STV$: There is no relationship indicating they sum to 180 degrees.
• For $\angle PQT$ and $\angle UTQ$: There is no relationship indicating they sum to 180 degrees.

Answer:

$\angle PQT$ and $\angle PQO$