Question

su and vx are parallel lines. which angles are alternate exterior angles? ∠xwy and ∠utw, ∠xwy and ∠xwt, ∠xwy and ∠vwy, ∠xwy and ∠str, your answer: ∠xwy and ∠utw, ∠xwy and ∠xwt, ∠xwy and ∠vwy, ∠xwy and ∠str, ∠xwy and ∠vwy

Explanation:

Step1: Recall definition of alternate - exterior angles

Alternate - exterior angles are non - adjacent angles that lie outside two parallel lines and on opposite sides of a transversal.

Step2: Analyze the given parallel lines and transversal

Lines $\overleftrightarrow{SU}$ and $\overleftrightarrow{VX}$ are parallel and $\overleftrightarrow{YR}$ is the transversal.

Step3: Identify the alternate - exterior angles

$\angle XWY$ and $\angle STR$ are non - adjacent, lie outside the parallel lines $\overleftrightarrow{SU}$ and $\overleftrightarrow{VX}$, and are on opposite sides of the transversal $\overleftrightarrow{YR}$.

Answer:

$\angle XWY$ and $\angle STR$