In a right triangle, if angle $cbe$ is one of the non-right angles and the other non-right angle measures $72°$, what is the measure of angle $cbe$?

• A. $144°$
• B. $72°$
• C. $108°$
• D. $36°$

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 the triangle is a right triangle, one of the angles is \(90^\circ\) by definition.
3. You are given that one of the non-right angles measures \(72^\circ\).
4. Let the measure of angle \(cbe\) be \(x\). Since the three angles must add up to \(180^\circ\), set up the equation: \(x + 72^\circ + 90^\circ = 180^\circ\).
5. Solve the equation for \(x\) to find the measure of angle \(cbe\).