Question

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

Explanation:

Step1: Recall alternate interior angles definition

Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two lines (interior) and on opposite sides of the transversal.

Step2: Analyze each option

• Option 1: $\angle OPS$ and $\angle QPN$: These are vertical angles or adjacent angles, not alternate interior.
• Option 2: $\angle QPS$ and $\angle RSP$: Line $PQ \parallel RT$ (assuming from the diagram), transversal $NU$. $\angle QPS$ is between $PQ$ and $NU$, $\angle RSP$ is between $RT$ and $NU$, on opposite sides of $NU$. So they are alternate interior.
• Option 3: $\angle OPN$ and $\angle RSP$: $\angle OPN$ is not between the two lines, so not interior.
• Option 4: $\angle TSU$ and $\angle QPS$: $\angle TSU$ is not between the two lines, so not interior.

Answer:

$\angle QPS$ and $\angle RSP$ (the option with $\angle QPS$ and $\angle RSP$)