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: \(B = 180^\circ - 90^\circ - 15^\circ\).