Question

which angles are supplementary angles? ∠stq and ∠pqo ∠stq and ∠utv ∠stq and ∠utq ∠stq and ∠rqt

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 ∠STQ and ∠PQO: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠STQ and ∠UTV: ∠UTV and ∠STQ are vertical angles (opposite angles formed by the intersection of two lines), not supplementary.
• For ∠STQ and ∠UTQ: ∠STQ and ∠UTQ are adjacent angles and together they form a straight - line. So, ∠STQ+∠UTQ = 180 degrees, and they are supplementary.
• For ∠STQ and ∠RQT: They are not adjacent and do not form a straight - line, so they are not supplementary.

Answer:

∠STQ and ∠UTQ