Question

which angles are supplementary angles? ∠rsp and ∠opn ∠rsp and ∠tsu ∠qpn and ∠ops ∠qpn and ∠opn

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 ∠RSP and ∠OPN: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠RSP and ∠TSU: They are vertical angles, not supplementary.
• For ∠QPN and ∠OPS: They are not related in a way that their sum is 180 degrees.
• For ∠QPN and ∠OPN: These two angles are adjacent and together they form a straight - line (the line NQ). So, ∠QPN+∠OPN = 180 degrees.

Answer:

∠QPN and ∠OPN