Question

pr and su are parallel lines. which angles are supplementary angles? ∠stv and ∠pqt ∠stv and ∠utq ∠stv and ∠rqo ∠stv and ∠stq

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 ∠STV and ∠PQT: They are not adjacent and do not form a straight - line.
• For ∠STV and ∠UTQ: They are vertical angles and are equal, not supplementary.
• For ∠STV and ∠RQO: They are not adjacent and do not form a straight - line.
• For ∠STV and ∠STQ: ∠STV and ∠STQ are adjacent angles and together they form a straight - line VO. So, ∠STV+∠STQ = 180 degrees.

Answer:

∠STV and ∠STQ