Triangle $ABC$ is a right triangle with angles $A$, $B$, and $C$. If angle $C$ is the right angle, which statement is true about the measures of angles $A$ and $B$?

• A. Angles $A$ and $B$ are both right angles.
• B. Angles $A$ and $B$ are supplementary, so $A+B=180°$.
• C. Angles $A$ and $B$ are complementary, so $A+B=90°$.
• D. Angles $A$ and $B$ are equal, so $A=B$.

Answer: (C)

Verified step by step guidance

1. Recall that in any triangle, the sum of the interior angles is always 180 degrees. This is a fundamental property of triangles.
2. Since angle C is given as the right angle, its measure is 90 degrees.
3. Let the measures of angles A and B be \( A \) and \( B \) respectively. Using the triangle angle sum property, we write the equation: \( A + B + C = 180^\circ \).
4. Substitute \( C = 90^\circ \) into the equation to get \( A + B + 90^\circ = 180^\circ \).
5. Simplify the equation to find \( A + B = 180^\circ - 90^\circ = 90^\circ \), which means angles A and B are complementary.