Question

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

Explanation:

Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two parallel lines and on opposite sides of the transversal.

• For \(\angle XWT\) and \(\angle STR\): \(\angle XWT\) is not between the parallel lines \(SU\) and \(VX\) in the correct position relative to the transversal \(YR\) to be an alternate - interior angle with \(\angle STR\).
• For \(\angle XWT\) and \(\angle STW\): \(\angle XWT\) and \(\angle STW\) lie between the parallel lines \(SU\) and \(VX\) and on opposite sides of the transversal \(YR\).
• For \(\angle UTW\) and \(\angle XWY\): \(\angle UTW\) is not an interior angle between \(SU\) and \(VX\) in the sense of alternate - interior angles (also, their positions relative to the transversal are not correct).
• For \(\angle STR\) and \(\angle UTR\): These two angles are adjacent (they share a common side \(TR\)) and not alternate interior angles.

Answer:

\(\angle XWT\) and \(\angle STW\)