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np and qs are parallel lines. which angles are alternate exterior angle…

Question

np and qs are parallel lines. which angles are alternate exterior angles? ∠srt and ∠sro ∠srt and ∠pom ∠srt and ∠nom ∠srt and ∠qrt

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are formed when a transversal crosses two parallel lines. They lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

  • For $\angle SRT$ and $\angle SRO$: These angles are adjacent, not alternate exterior angles.
  • For $\angle SRT$ and $\angle POM$: $\angle SRT$ and $\angle POM$ do not satisfy the position requirements of alternate exterior angles.
  • For $\angle SRT$ and $\angle NOM$:

Since $\overleftrightarrow{NP}\parallel\overleftrightarrow{QS}$ and $\overleftrightarrow{TM}$ is the transversal. $\angle SRT$ and $\angle NOM$ lie outside the parallel lines $\overleftrightarrow{NP}$ and $\overleftrightarrow{QS}$ and on opposite sides of the transversal $\overleftrightarrow{TM}$.

  • For $\angle SRT$ and $\angle QRT$: These angles are supplementary (form a linear - pair), not alternate exterior angles.

Answer:

$\angle SRT$ and $\angle NOM$