Question

which angles are supplementary angles? ∠tsu and ∠rsp ∠opn and ∠rsp ∠qps and ∠opn ∠rsp and ∠rsu

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 pair

• For ∠TSU and ∠RSP: They are vertical angles, not supplementary.
• For ∠OPN and ∠RSP: There is no indication that their sum is 180 degrees.
• For ∠QPS and ∠OPN: They are vertical angles, not supplementary.
• For ∠RSP and ∠RSU: ∠RSP and ∠RSU are adjacent angles and they form a straight - line (the line UN). So, ∠RSP+∠RSU = 180 degrees.

Answer:

∠RSP and ∠RSU