Question

which pair of angles is supplementary?
∠pxq and ∠rxb
∠yzx and ∠uzt
∠wzx and ∠xyz
∠rxz and ∠yxz

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^{\circ}\).

Step2: Analyze each option

• For \(\angle PXQ\) and \(\angle RXB\): There is no indication that their sum is \(180^{\circ}\).
• For \(\angle YZX\) and \(\angle UZT\): There is no indication that their sum is \(180^{\circ}\).
• For \(\angle WZX\) and \(\angle XYZ\): There is no indication that their sum is \(180^{\circ}\).
• For \(\angle RXZ\) and \(\angle YXZ\): Since \(PY\parallel WT\) and \(RU\) is a transversal, \(\angle RXZ+\angle YXZ = 180^{\circ}\) (consecutive interior angles).

Answer:

\(\angle RXZ\) and \(\angle YXZ\)