Question

select all the pairs of consecutive interior angles.
∠vwt and ∠stw ∠utr and ∠vwt
∠xwt and ∠utw ∠stw and ∠vwy

Explanation:

Step1: Recall Consecutive Interior Angles

Consecutive interior angles are two angles that lie between two lines (the "interior") and on the same side of a transversal. The lines \( VX \) and \( SU \) are parallel (implied by the arrows), and the transversal is \( YR \).

Step2: Analyze Each Pair

• \(\angle VWT\) and \(\angle STW\): These lie between \( VX \) and \( SU \), on the same side of transversal \( YR \). So they are consecutive interior angles.
• \(\angle UTR\) and \(\angle VWT\): \(\angle UTR\) is not between \( VX \) and \( SU \), so this is incorrect.
• \(\angle XWT\) and \(\angle UTW\): These lie between \( VX \) and \( SU \), on the same side of transversal \( YR \). So they are consecutive interior angles.
• \(\angle STW\) and \(\angle VWY\): \(\angle VWY\) is not between \( VX \) and \( SU \), so this is incorrect.

Answer:

The correct pairs are \(\angle VWT\) and \(\angle STW\), \(\angle XWT\) and \(\angle UTW\)