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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 ∠sro ∠qrt and ∠qro ∠qrt and ∠por ∠qrt and ∠nor

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are angles that are in the same relative position at each intersection where a straight line crosses two others. When two parallel lines are cut by a transversal, corresponding angles are equal.

Step2: Analyze each option

  • For $\angle QRT$ and $\angle SRO$: These are adjacent angles, not in the corresponding - position.
  • For $\angle QRT$ and $\angle QRO$: These are adjacent angles, not in the corresponding - position.
  • For $\angle QRT$ and $\angle POR$:

Since $\overleftrightarrow{NP}\parallel\overleftrightarrow{QS}$ and $\overleftrightarrow{MT}$ is a transversal. $\angle QRT$ and $\angle POR$ are in the same relative position (both are on the same side of the transversal and in the "lower - right" position relative to the parallel lines they are associated with).

  • For $\angle QRT$ and $\angle NOR$: These angles are not in the same relative position.

Answer:

$\angle QRT$ and $\angle POR$