Question

su and vx are parallel lines. which angles are vertical angles? ∠str and ∠vwy ∠str and ∠stw ∠str and ∠xwt ∠str and ∠utw

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are a pair of non - adjacent angles formed by the intersection of two lines. They are opposite each other.

Step2: Analyze each option

• For $\angle STR$ and $\angle VWY$: These angles are not formed by the intersection of the same two lines.
• For $\angle STR$ and $\angle STW$: These angles are adjacent (they share a common side), so they are not vertical angles.
• For $\angle STR$ and $\angle XWT$: $\angle STR$ and $\angle XWT$ are formed by the intersection of lines $SU$ (or its extension) and $YR$. They are non - adjacent and opposite each other.
• For $\angle STR$ and $\angle UTW$: These angles are adjacent (they share a common side), so they are not vertical angles.

Answer:

$\angle STR$ and $\angle XWT$