Question

select all the pairs of alternate interior angles.
∠tsp and ∠ops
∠tsp and ∠tsu
∠rsu and ∠qps
∠opn and ∠ops

Explanation:

Step1: Recall alternate - interior angles definition

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

Step2: Analyze each pair

• For $\angle TSP$ and $\angle OPS$: They are non - adjacent, between lines $RT$ and $OQ$, and on opposite sides of transversal $UN$, so they are alternate - interior angles.
• For $\angle TSP$ and $\angle TSU$: $\angle TSU$ is a straight - angle related to $\angle TSP$ but not an alternate - interior angle with it as they do not meet the criteria of being between two lines and on opposite sides of a transversal.
• For $\angle RSU$ and $\angle QPS$: They are non - adjacent, between lines $RT$ and $OQ$, and on opposite sides of transversal $UN$, so they are alternate - interior angles.
• For $\angle OPN$ and $\angle OPS$: They are adjacent angles, not alternate - interior angles.

Answer:

$\angle TSP$ and $\angle OPS$, $\angle RSU$ and $\angle QPS$