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

Question

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

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the parallel lines and the transversal.

Step2: Analyze each option

  • $\angle SRU$ and $\angle QRU$ are adjacent angles, not corresponding.
  • $\angle SRU$ and $\angle VUR$ are alternate - interior angles.
  • $\angle SRU$ and $\angle VUW$: When $\overleftrightarrow{QS}\parallel\overleftrightarrow{TV}$ and $\overleftrightarrow{WP}$ is the transversal, $\angle SRU$ and $\angle VUW$ are in the same relative position with respect to the parallel lines and the transversal.
  • $\angle SRU$ and $\angle TUW$ are not related in the corresponding - angles sense.

Answer:

$\angle SRU$ and $\angle VUW$