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which angles are corresponding angles? ∠rsp and ∠tsp ∠tsu and ∠rsu ∠rsp…

Question

which angles are corresponding angles?
∠rsp and ∠tsp
∠tsu and ∠rsu
∠rsp and ∠opn
∠ops and ∠rsp

Explanation:

Step1: Recall definition of corresponding angles

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others.

Step2: Analyze each option

  • $\angle RSP$ and $\angle TSP$ are adjacent angles.
  • $\angle TSU$ and $\angle RSU$ are adjacent angles.
  • $\angle RSP$ and $\angle OPN$ are corresponding angles as they are in the same relative position with respect to the transversal $UN$ and the two lines $RT$ and $OQ$.
  • $\angle OPS$ and $\angle RSP$ are not corresponding angles.

Answer:

$\angle RSP$ and $\angle OPN$