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oq and rt are parallel lines. which angles are alternate exterior angle…

Question

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

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate - exterior angles are two non - adjacent exterior angles on opposite sides of a transversal that intersects two parallel lines.

Step2: Analyze each option

  • $\angle RSU$ and $\angle TSU$ are adjacent angles, not alternate - exterior angles.
  • $\angle RSU$ and $\angle QPN$: $\angle RSU$ and $\angle QPN$ are non - adjacent exterior angles on opposite sides of the transversal $NU$ that intersects the parallel lines $OQ$ and $RT$.
  • $\angle RSU$ and $\angle RSP$ are adjacent angles, not alternate - exterior angles.
  • $\angle RSU$ and $\angle QPS$: $\angle QPS$ is an interior angle, not an exterior angle, so they are not alternate - exterior angles.

Answer:

$\angle RSU$ and $\angle QPN$