Which pair of angles is supplementary in a right triangle?

• A. $\angle rxz$ and $\angle yxz$
• B. $\angle wzx$ and $\angle xyz$
• C. $\angle yzx$ and $\angle uzt$
• D. $\angle pxq$ and $\angle rxs$

Answer: (A)

Verified step by step guidance

1. Recall that supplementary angles are two angles whose measures add up to 180 degrees.
2. In a right triangle, one angle is exactly 90 degrees, and the other two angles must add up to 90 degrees because the total sum of angles in any triangle is 180 degrees.
3. Identify pairs of angles that share a common vertex and form a straight line (linear pair), as these pairs are supplementary by definition.
4. Look at the given angle pairs and determine which pair forms a linear pair, meaning their rays lie on a straight line, so their measures add up to 180 degrees.
5. Conclude that the pair of angles that are supplementary in the right triangle are those that form a linear pair, such as \( \angle r x z \) and \( \angle y x z \), because their sides form a straight line.