Question

which angles are supplementary angles?
∠vwt and ∠utw ∠vwt and ∠str
∠vwt and ∠xwy ∠vwt and ∠vwy

Explanation:

Step1: Recall Supplementary Angles

Supplementary angles sum to \(180^\circ\) (a straight line). Check each pair:

Step2: Analyze \(\angle VWT\) and \(\angle VWY\)

\(\angle VWT\) and \(\angle VWY\) form a linear pair (they are adjacent and on a straight line \(VY\) through \(W\)). So their sum is \(180^\circ\), making them supplementary.

Step3: Check Other Pairs

• \(\angle VWT\) and \(\angle UTW\): Alternate interior angles (since \(SU \parallel VX\), transversal \(RY\)), so equal, not supplementary.
• \(\angle VWT\) and \(\angle STR\): Corresponding angles (if \(SU \parallel VX\)), equal, not supplementary.
• \(\angle VWT\) and \(\angle XWY\): Vertical angles, equal, not supplementary.

Answer:

\(\angle VWT\) and \(\angle VWY\)