Question

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

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Analyze \(\angle RXZ\) and \(\angle YXZ\)

\(\angle RXZ+\angle YXZ = 180^{\circ}\) (they form a linear pair).

Step3: Analyze \(\angle PXQ\) and \(\angle RXS\)

There is no indication that \(\angle PXQ+\angle RXS = 180^{\circ}\).

Step4: Analyze \(\angle YZX\) and \(\angle UZT\)

There is no indication that \(\angle YZX+\angle UZT = 180^{\circ}\).

Step5: Analyze \(\angle WZX\) and \(\angle XYZ\)

There is no indication that \(\angle WZX+\angle XYZ = 180^{\circ}\).

Answer:

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