Question

oq and rt are parallel lines. which angles are supplementary angles? ∠opn and ∠qpn ∠opn and ∠rsp ∠opn and ∠tsu ∠opn and ∠qps

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 ∠OPN and ∠QPN: They are adjacent angles and form a straight - line ON. So, ∠OPN+∠QPN = 180 degrees.
• For ∠OPN and ∠RSP: There is no relation such that their sum is 180 degrees.
• For ∠OPN and ∠TSU: There is no relation such that their sum is 180 degrees.
• For ∠OPN and ∠QPS: ∠OPN and ∠QPS are vertical angles and are equal, not supplementary.

Answer:

∠OPN and ∠QPN