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qs and tv are parallel lines. which angles are vertical angles? ∠vuw an…

Question

qs and tv are parallel lines. which angles are vertical angles? ∠vuw and ∠srp ∠qrp and ∠sru ∠vuw and ∠tuw ∠srp and ∠vur

Explanation:

Step1: Recall the definition of vertical angles

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

Step2: Analyze each option

  • For $\angle VUW$ and $\angle SRP$: These angles are not formed by the intersection of the same two lines.
  • For $\angle QRP$ and $\angle SRU$: These angles are formed by the intersection of line $PW$ with parallel lines $QS$ and $TV$. They are vertical angles as they are opposite each other at the intersection of line $PW$ and line $QS$ (since vertical angles are pairs of opposite angles made by two intersecting lines).
  • For $\angle VUW$ and $\angle TUW$: These angles are adjacent, not vertical.
  • For $\angle SRP$ and $\angle VUR$: These angles are not formed by the intersection of the same two lines.

Answer:

$\angle QRP$ and $\angle SRU$