Question

a right triangle has one angle that measures 15°. what is the measure of the other acute angle?

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In a right - triangle, one angle is 90°.

Step2: Set up an equation

Let the unknown angle be \(x\). We know that \(90^{\circ}+15^{\circ}+x = 180^{\circ}\).

Step3: Solve for \(x\)

First, simplify the left - hand side: \(105^{\circ}+x = 180^{\circ}\). Then, subtract \(105^{\circ}\) from both sides: \(x=180^{\circ}- 105^{\circ}=75^{\circ}\).

Answer:

75