Question

1. $overline{oq}$ and $overline{rt}$ are parallel lines. which angles are supplementary angles? $angle{opn}$ and $angle{qps}$ $angle{opn}$ and $angle{ops}$ $angle{opn}$ and $angle{tsu}$ $angle{opn}$ and $angle{rsp}$

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 ∠QPS: These are vertical angles, not supplementary.
• For ∠OPN and ∠OPS: ∠OPN and ∠OPS form a straight - line at point P. So, ∠OPN+∠OPS = 180 degrees.
• For ∠OPN and ∠TSU: There is no relation that makes them supplementary.
• For ∠OPN and ∠RSP: There is no relation that makes them supplementary.

Answer:

∠OPN and ∠OPS