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

Question

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

Explanation:

Step1: Recall the definition of corresponding angles

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

Step2: Analyze each option

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

Answer:

\(\angle QRO\) and \(\angle NOM\)