Question

oq and rt are parallel lines. which angles are alternate exterior angles? ∠rsu and ∠rsp ∠rsu and ∠qps ∠rsu and ∠tsu ∠rsu and ∠qpn

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are pairs of angles that lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle RSU$ and $\angle RSP$: These angles are adjacent, not alternate exterior angles.
• For $\angle RSU$ and $\angle QPS$: $\overleftrightarrow{OQ}\parallel\overleftrightarrow{RT}$, and the transversal is $\overleftrightarrow{NU}$. $\angle RSU$ and $\angle QPS$ lie outside the parallel lines $\overleftrightarrow{OQ}$ and $\overleftrightarrow{RT}$ and on opposite sides of the transversal $\overleftrightarrow{NU}$.
• For $\angle RSU$ and $\angle TSU$: These angles are adjacent, not alternate exterior angles.
• For $\angle RSU$ and $\angle QPN$: $\angle QPN$ and $\angle RSU$ do not satisfy the position relationship of alternate exterior angles.

Answer:

$\angle RSU$ and $\angle QPS$