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np and qs are parallel lines. which angles are corresponding angles? ∠q…

Question

np and qs are parallel lines. which angles are corresponding angles? ∠qrt and ∠srt ∠qrt and ∠sro ∠qrt and ∠nor ∠qrt and ∠nom

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are angles that are in the same relative position with respect to the parallel lines and the transversal.

Step2: Analyze each option

  • For $\angle QRT$ and $\angle SRT$: These are adjacent angles, not corresponding.
  • For $\angle QRT$ and $\angle SRO$: These are not in the same relative position.
  • For $\angle QRT$ and $\angle NOR$: These are not in the same relative position.
  • For $\angle QRT$ and $\angle NOM$: $\overleftrightarrow{NP}\parallel\overleftrightarrow{QS}$ and $\overleftrightarrow{MT}$ is the transversal. $\angle QRT$ and $\angle NOM$ are in the same relative position (upper - right with respect to the intersection points on the parallel lines and the transversal).

Answer:

$\angle QRT$ and $\angle NOM$