Question

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

Explanation:

Step1: Recall triangle - angle sum property

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 acute angle be \(x\). We know one angle is 90° and another is 15°. So, \(90 + 15+x=180\).

Step3: Solve for \(x\)

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

Answer:

75