Question

which angles are alternate interior angles?
∠wvt and ∠utw
∠wvt and ∠xwy
∠wvt and ∠utr
∠wvt and ∠stw
su and vx are parallel lines.

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are non - adjacent interior angles that lie on opposite sides of the transversal.

Step2: Analyze each pair

• For \(\angle WVT\) and \(\angle UTV\): These are same - side interior angles (not alternate interior angles).
• For \(\angle WVT\) and \(\angle XWY\): \(\angle XWY\) is not an interior angle formed by the transversal \(YR\) with the parallel lines \(SU\) and \(VX\).
• For \(\angle WVT\) and \(\angle UTR\): These are vertical angles (not alternate interior angles).
• For \(\angle WVT\) and \(\angle STW\):
• The parallel lines are \(SU\) and \(VX\) and the transversal is \(YR\).
• \(\angle WVT\) and \(\angle STW\) are non - adjacent interior angles that lie on opposite sides of the transversal \(YR\).

Answer:

\(\angle WVT\) and \(\angle STW\)