Question

which angles are corresponding angles?
∠str and ∠vwt ∠str and ∠xwt
∠str and ∠utw ∠str and ∠stw

Explanation:

Step1: Recall Corresponding Angles Definition

Corresponding angles are formed when a transversal intersects two parallel lines, and they occupy the same relative position at each intersection.

Step2: Analyze Each Option

• For \( \angle STR \) and \( \angle VWT \): Check their positions. The lines \( VS \) (or \( SU \)) and \( VX \) are parallel? Wait, the transversal is \( YR \). \( \angle STR \) is at intersection \( T \) (transversal \( YR \) and line \( SU \)), \( \angle VWT \) is at intersection \( W \) (transversal \( YR \) and line \( VX \)). They are in the same relative position (upper - right or similar) if lines \( VX \) and \( SU \) are parallel. Wait, let's check other options.
• \( \angle STR \) and \( \angle XWT \): \( \angle XWT \) is at \( W \) on the lower side, not corresponding.
• \( \angle STR \) and \( \angle UTW \): These are alternate - interior or something else, not corresponding.
• \( \angle STR \) and \( \angle STW \): These are adjacent or same - vertex, not corresponding.

Wait, maybe I made a mistake. Let's re - examine. The transversal is \( YR \), cutting two lines (let's say \( VX \) and \( SU \)). Corresponding angles should be in the same "corner" at each intersection. \( \angle STR \) is at \( T \), between transversal \( YR \) and line \( SU \), above the transversal? \( \angle VWT \) is at \( W \), between transversal \( YR \) and line \( VX \), above the transversal. So they are corresponding.

Answer:

\( \angle STR \) and \( \angle VWT \)