Question

su and vx are parallel lines.
which angles are alternate exterior angles?
∠xwy and ∠stw ∠xwy and ∠xwt
∠xwy and ∠str ∠xwy and ∠utr

Explanation:

Step1: Recall the definition of alternate exterior angles

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

Step2: Analyze each option

• For \(\angle XWY\) and \(\angle STW\):
• \(\overrightarrow{SU}\parallel\overrightarrow{VX}\) and \(\overrightarrow{RY}\) is the transversal.
• \(\angle XWY\) and \(\angle STW\) lie outside the parallel lines \(\overrightarrow{SU}\) and \(\overrightarrow{VX}\) and on opposite sides of the transversal \(\overrightarrow{RY}\).
• For \(\angle XWY\) and \(\angle XWT\): These angles are adjacent, so they are not alternate exterior angles.
• For \(\angle XWY\) and \(\angle STR\): These angles do not satisfy the position requirements of alternate exterior angles.
• For \(\angle XWY\) and \(\angle UTR\): These angles do not satisfy the position requirements of alternate exterior angles.

Answer:

\(\angle XWY\) and \(\angle STW\)