Question

su and vx are parallel lines. which angles are alternate exterior angles? ∠xwy and ∠stw ∠xwy and ∠vwt ∠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 pair

• For \(\angle XWY\) and \(\angle STW\):
• \(\angle STW\) is on one side of the transversal \(RY\), and \(\angle XWY\) is on the opposite side.
• Both \(\angle STW\) and \(\angle XWY\) lie outside the parallel lines \(SU\) and \(VX\).
• For \(\angle XWY\) and \(\angle VWT\): \(\angle VWT\) lies between the parallel lines \(SU\) and \(VX\), so they are not alternate exterior angles.
• For \(\angle XWY\) and \(\angle STR\): \(\angle STR\) and \(\angle XWY\) do not satisfy the position (outside the two parallel lines and on opposite sides of the transversal) for alternate exterior angles.
• For \(\angle XWY\) and \(\angle UTR\): \(\angle UTR\) and \(\angle XWY\) do not satisfy the position (outside the two parallel lines and on opposite sides of the transversal) for alternate exterior angles.

Answer:

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