Question

which angles are alternate interior angles? ∠str and ∠utw ∠xwt and ∠stw ∠utr and ∠vwt ∠xwt and ∠vwy

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are two non - adjacent interior angles on opposite sides of a transversal that intersects two parallel lines.

Step2: Analyze each option

For the lines SU and VX intersected by transversal RY:

• Option 1: ∠STR and ∠UTW are vertical angles.
• Option 2: ∠XWT and ∠STW are alternate - interior angles as they are non - adjacent interior angles on opposite sides of the transversal RY.
• Option 3: ∠UTR and ∠VWT are not related in the alternate - interior angles sense.
• Option 4: ∠XWT and ∠VWY are not alternate - interior angles.

Answer:

∠XWT and ∠STW