Question

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

Explanation:

Step1: Recall supplementary - angles definition

Two angles are supplementary if their sum is 180°.

Step2: Analyze each option

• For ∠RXZ and ∠YXZ: They are adjacent angles that form a straight - line at point X. ∠RXZ+∠YXZ = 180° since they are a linear pair.
• For ∠PXQ and ∠RXS: They are vertical angles, and vertical angles are equal, not supplementary.
• For ∠YZX and ∠UZT: There is no indication that they are related in a way that their sum is 180°.
• For ∠WZX and ∠XYZ: There is no indication that they are related in a way that their sum is 180°.

Answer:

∠RXZ and ∠YXZ