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oq and rt are parallel lines. which angles are vertical angles? ∠ops an…

Question

oq and rt are parallel lines. which angles are vertical angles? ∠ops and ∠rsu ∠ops and ∠tsp ∠ops and ∠qpn ∠ops and ∠rsp

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are the angles opposite each other when two lines intersect.

Step2: Analyze each option

  • For $\angle OPS$ and $\angle RSU$: These angles are not formed by the intersection of the same two lines.
  • For $\angle OPS$ and $\angle TSP$: These angles are not formed by the intersection of the same two lines.
  • For $\angle OPS$ and $\angle QPN$: These angles are formed by the intersection of lines $OQ$ and $NU$ (assuming $NU$ is the line containing $N$ and $P$). They are opposite each other at the intersection of these two lines.
  • For $\angle OPS$ and $\angle RSP$: These angles are not formed by the intersection of the same two lines.

Answer:

$\angle OPS$ and $\angle QPN$