In the context of right triangles and their angles, which term best describes a pair of angles that are both $\mathrm{vertical}$ and $\mathrm{supplementary}$?

• A. $\mathrm{Adjacent} \mathrm{angles}$
• B. $\mathrm{Complementary} \mathrm{angles}$
• C. $\mathrm{Vertical} \mathrm{angles}$
• D. $\mathrm{Linear} \mathrm{pair}$

Answer: (C)

Verified step by step guidance

1. Recall the definitions of the angle pairs involved: Vertical angles are pairs of opposite angles formed by two intersecting lines, and they are always equal in measure.
2. Supplementary angles are two angles whose measures add up to 180 degrees.
3. Adjacent angles share a common side and a common vertex, but vertical angles are opposite each other and do not share a side.
4. Since the problem states the angles are both vertical and supplementary, consider which pair of angles formed by intersecting lines are supplementary and also opposite each other.
5. Recognize that a linear pair consists of two adjacent angles that are supplementary, so the pair described (vertical and supplementary) must be a linear pair.