Given a right triangle where angle $A$ is the right angle, what is the measure of angle $B$ if angle $C$ is $15°$?

• A. $45°$
• B. $15°$
• C. $60°$
• D. $75°$

Answer: (D)

Verified step by step guidance

1. Recall that the sum of the interior angles in any triangle is always \(180^\circ\).
2. Since angle \(A\) is the right angle, it measures \(90^\circ\).
3. Given that angle \(C\) measures \(15^\circ\), use the angle sum property to find angle \(B\) by setting up the equation: \(A + B + C = 180^\circ\).
4. Substitute the known values into the equation: \(90^\circ + B + 15^\circ = 180^\circ\).
5. Solve for \(B\) by isolating it: \(B = 180^\circ - 90^\circ - 15^\circ\).