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which angles are corresponding angles? ∠tsv and ∠uvx ∠rsv and ∠tsq ∠rsq…

Question

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

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 $\angle UVX$: They are corresponding angles. $\angle TSV$ and $\angle UVX$ are in the same relative position with respect to the transversal $XQ$ and the two lines $UT$ and $RW$.
  • $\angle RSV$ and $\angle TSQ$ are vertical angles.
  • $\angle RSQ$ and $\angle WVS$ are not corresponding angles.
  • $\angle TSV$ and $\angle WVX$ are not corresponding angles.

Answer:

$\angle TSV$ and $\angle UVX$