Question

which angles are corresponding angles?
∠vwt and ∠vwy
∠utr and ∠utw
∠vwt and ∠str
∠vwt and ∠stw

Explanation:

Step1: Recall definition of corresponding angles

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

Step2: Analyze each option

• $\angle VWT$ and $\angle VWY$ are adjacent angles.
• $\angle UTR$ and $\angle UTW$ are adjacent angles.
• $\angle VWT$ and $\angle STR$ are corresponding angles as they are in the same relative position with respect to the transversal $YR$ and the lines $VX$ and $SU$.
• $\angle VWT$ and $\angle STW$ are not corresponding angles.

Answer:

$\angle VWT$ and $\angle STR$