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which angles are consecutive interior angles? ∠qru and ∠tuw ∠qru and ∠s…

Question

which angles are consecutive interior angles? ∠qru and ∠tuw ∠qru and ∠sru ∠qru and ∠qrp ∠qru and ∠tur

Explanation:

Step1: Recall definition

Consecutive - interior angles are two angles that lie between two lines and on the same side of a transversal.

Step2: Analyze each option

  • For $\angle QRU$ and $\angle TUW$, they are not consecutive - interior angles.
  • For $\angle QRU$ and $\angle SRU$, they are adjacent angles, not consecutive - interior angles.
  • For $\angle QRU$ and $\angle QRP$, they are adjacent angles, not consecutive - interior angles.
  • For $\angle QRU$ and $\angle TUR$, they lie between lines $QS$ and $TV$ and on the same side of transversal $PW$. So they are consecutive - interior angles.

Answer:

$\angle QRU$ and $\angle TUR$