Question

a right triangle has one angle that measures 53°. what is the measure of the other acute angle? °

Explanation:

Step1: Recall triangle - angle sum

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

Step2: Set up the equation

Let the unknown acute angle be \(x\). We have \(90^{\circ}+53^{\circ}+x = 180^{\circ}\).

Step3: Solve for \(x\)

First, simplify the left - hand side: \(143^{\circ}+x = 180^{\circ}\). Then, subtract \(143^{\circ}\) from both sides: \(x=180^{\circ}-143^{\circ}\). So, \(x = 37^{\circ}\).

Answer:

37