Question

which angles are supplementary angles? ∠pqt and ∠stv ∠pqo and ∠stq ∠utv and ∠stq ∠utq and ∠utv

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

Answer:

∠UTQ and ∠UTV