Given a right triangle where angle $\mathrm{BAC}$ is one of the acute angles, what is the degree measure of angle $\mathrm{BAC}$? Round your answer to the nearest whole degree.

• A. $70°$
• B. $71°$
• C. $20°$
• D. $19°$

Answer: (C)

Verified step by step guidance

1. Identify the given information: The triangle is a right triangle, so one angle measures 90°.
2. Recall that the sum of the interior angles in any triangle is 180°.
3. Let angle BAC be the unknown acute angle we want to find. The other acute angle can be identified or is given (for example, 70° or 71° as suggested).
4. Set up the equation for the sum of angles: \$90^{\circ} + \text{angle BAC} + \text{other acute angle} = 180^{\circ}$.
5. Solve for angle BAC by subtracting the right angle and the other acute angle from 180°: \(\text{angle BAC} = 180^{\circ} - 90^{\circ} - \text{other acute angle}\).