Question

which angles are alternate interior angles? ∠rsp and ∠rsu ∠ops and ∠tsu ∠rsp and ∠qps ∠qpn and ∠opn

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are formed when a transversal intersects two lines. They are between the two lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle RSP$ and $\angle RSU$, they are adjacent angles, not alternate - interior angles.
• For $\angle OPS$ and $\angle TSU$, they are not in the correct position relative to the two lines and the transversal to be alternate - interior angles.
• For $\angle RSP$ and $\angle QPS$, they are between the lines $OQ$ and $RT$ and on opposite sides of the transversal $NU$, so they are alternate - interior angles.
• For $\angle QPN$ and $\angle OPN$, they are adjacent angles, not alternate - interior angles.

Answer:

$\angle RSP$ and $\angle QPS$