Question

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

Explanation:

Step1: Recall Corresponding Angles

Corresponding angles are equal when two parallel lines are cut by a transversal. They occupy the same relative position at each intersection.

Step2: Analyze Each Option

• Option 1: $\angle UVS$ and $\angle WVX$ – These are vertical angles, not corresponding.
• Option 2: $\angle RSQ$ and $\angle RSV$ – These are adjacent angles forming a linear pair, not corresponding.
• Option 3: $\angle RSQ$ and $\angle TSV$ – These are vertical angles, not corresponding.
• Option 4: $\angle WVS$ and $\angle TSQ$ – These are in the same relative position at their respective intersections (formed by the transversal $XQ$ cutting parallel lines $UW$ and $RT$), so they are corresponding angles.

Answer:

$\angle WVS$ and $\angle TSQ$