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qs and tv are parallel lines. which angles are corresponding angles? ∠v…

Question

qs and tv are parallel lines. which angles are corresponding angles? ∠vuw and ∠sru ∠vuw and ∠vur ∠vuw and ∠qru ∠vuw and ∠qrp

Explanation:

Step1: Recall corresponding - angles definition

When two parallel lines are cut by a transversal, corresponding angles are in the same relative position with respect to the parallel lines and the transversal.

Step2: Analyze each option

  • For $\angle VUW$ and $\angle SRU$, they are not in the same relative position.
  • For $\angle VUW$ and $\angle VUR$, they are adjacent - angles, not corresponding angles.
  • For $\angle VUW$ and $\angle QRU$, they are not in the same relative position.
  • For $\angle VUW$ and $\angle QRP$, when $\overleftrightarrow{QS}$ and $\overleftrightarrow{TV}$ are parallel lines and $\overleftrightarrow{WP}$ is the transversal, $\angle VUW$ and $\angle QRP$ are in the same relative position (both are above the parallel lines and to the right of the transversal).

Answer:

$\angle VUW$ and $\angle QRP$