In a right triangle ABC, angle C is the right angle and angle A measures $35°$. What is the measure of angle B?

• A. $90°$
• B. $65°$
• C. $45°$
• D. $55°$

Answer: (D)

Verified step by step guidance

1. Recall that in any triangle, the sum of the interior angles is always \(180^\circ\).
2. Since triangle ABC is a right triangle with angle C as the right angle, we know that \(\angle C = 90^\circ\).
3. Given that \(\angle A = 35^\circ\), use the angle sum property to find \(\angle B\) by setting up the equation: \(\angle A + \angle B + \angle C = 180^\circ\).
4. Substitute the known values into the equation: \(35^\circ + \angle B + 90^\circ = 180^\circ\).
5. Solve for \(\angle B\) by isolating it: \(\angle B = 180^\circ - 90^\circ - 35^\circ\).