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QUESTION IMAGE

select all the pairs of consecutive interior angles.

Question

select all the pairs of consecutive interior angles.

Explanation:

Step1: Recall definition of consecutive - interior angles

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

Step2: Analyze each pair

  • For $\angle RSP$ and $\angle OPN$: $\angle RSP$ and $\angle OPN$ are not consecutive - interior angles as they are not in the correct relative position with respect to the lines and the transversal.
  • For $\angle RSP$ and $\angle OPS$: $\angle RSP$ and $\angle OPS$ are consecutive - interior angles. They lie between lines $RT$ and $OQ$ and on the same side of transversal $UN$.
  • For $\angle QPS$ and $\angle TSP$: $\angle QPS$ and $\angle TSP$ are consecutive - interior angles. They lie between lines $RT$ and $OQ$ and on the same side of transversal $UN$.
  • For $\angle QPS$ and $\angle OPS$: $\angle QPS$ and $\angle OPS$ are adjacent angles, not consecutive - interior angles.

Answer:

$\angle RSP$ and $\angle OPS$, $\angle QPS$ and $\angle TSP$