In right triangle $ABC$, if angle $A$ measures $24°$ and angle $B$ measures $40°$, what is the measure of angle $C$?

• A. $64°$
• B. $116°$
• C. $92°$
• D. $24°$

Answer: (A)

Verified step by step guidance

1. Recall that the sum of the interior angles in any triangle is always 180 degrees. This is a fundamental property of triangles.
2. Identify the given angles in the triangle: angle A is 24 degrees and angle B is 40 degrees.
3. Set up the equation to find angle C using the angle sum property: \(\text{angle A} + \text{angle B} + \text{angle C} = 180^\circ\).
4. Substitute the known values into the equation: \(24^\circ + 40^\circ + \text{angle C} = 180^\circ\).
5. Solve for angle C by isolating it on one side: \(\text{angle C} = 180^\circ - 24^\circ - 40^\circ\).