Question

su and vx are parallel lines.
which angles are alternate exterior angles?
∠vwy and ∠utw ∠vwy and ∠xwy
∠vwy and ∠utr ∠vwy and ∠vwt
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work it out

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 \(\angle VWY\) and \(\angle UTW\):
• \(\angle VWY\) lies outside the parallel lines \(SU\) and \(VX\) and \(\angle UTW\) also lies outside.
• They are on opposite sides of the transversal \(RY\).
• For \(\angle VWY\) and \(\angle XWY\): They are adjacent, so not alternate exterior angles.
• For \(\angle VWY\) and \(\angle UTR\): \(\angle UTR\) is not in the correct position relative to the parallel lines and transversal for alternate exterior angles.
• For \(\angle VWY\) and \(\angle VWT\): They are adjacent, so not alternate exterior angles.

Answer:

\(\angle VWY\) and \(\angle UTW\)