Question

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

Explanation:

Step1: Recall supplementary - angles 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 ∠UTQ: They are alternate interior angles, not supplementary.
• For ∠PQT and ∠STV: ∠STV and ∠UTQ are vertical angles, and ∠PQT and ∠UTQ are alternate interior angles, so ∠PQT and ∠STV are not supplementary.
• For ∠PQT and ∠PQO: ∠PQT and ∠PQO form a straight - line at point Q. The sum of ∠PQT and ∠PQO is 180 degrees. So they are supplementary.
• For ∠PQT and ∠RQO: ∠RQO and ∠PQO are vertical angles, and ∠PQT and ∠PQO are supplementary, but ∠PQT and ∠RQO are not supplementary.

Answer:

∠PQT and ∠PQO