Question

tv and wy are parallel lines. which angles are corresponding angles? ∠yxz and ∠wxu ∠yxz and ∠vus ∠yxz and ∠vux ∠yxz and ∠tux

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

• $\angle YXZ$ and $\angle WXU$ are vertical - angles.
• $\angle YXZ$ and $\angle VUS$: When $\overleftrightarrow{TV}$ and $\overleftrightarrow{WY}$ are parallel lines and $\overleftrightarrow{ZS}$ is a transversal, $\angle YXZ$ and $\angle VUS$ are in the same relative position (both are above the parallel lines and to the right of the transversal).
• $\angle YXZ$ and $\angle VUX$ are alternate - interior angles.
• $\angle YXZ$ and $\angle TUX$ are not in a special angle - relationship.

Answer:

$\angle YXZ$ and $\angle VUS$