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which angles are corresponding angles? ∠tsv and ∠rsq ∠uvs and ∠wvx ∠uvs…

Question

which angles are corresponding angles? ∠tsv and ∠rsq ∠uvs and ∠wvx ∠uvs and ∠wvs ∠uvx and ∠rsv

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. If the two lines are parallel, corresponding angles are equal.

Step2: Analyze each option

  • For $\angle TSV$ and $\angle RSQ$, they are vertical angles.
  • For $\angle UVS$ and $\angle WVX$, they are corresponding angles as they are in the same relative position with respect to the transversal $XQ$ and the two lines $UT$ and $RT$.
  • For $\angle UVS$ and $\angle WVS$, they are adjacent angles.
  • For $\angle UVX$ and $\angle RSV$, they have no special angle - relationship like corresponding angles.

Answer:

$\angle UVS$ and $\angle WVX$