Question

one angle of a right triangle measures 50°. what is the measure of the other acute angle?

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). In a right - triangle, one angle is \(90^{\circ}\).

Step2: Set up the equation

Let the unknown acute angle be \(x\). We know that \(90^{\circ}+50^{\circ}+x = 180^{\circ}\).

Step3: Solve for \(x\)

Simplify the left - hand side of the equation: \(140^{\circ}+x=180^{\circ}\). Then, subtract \(140^{\circ}\) from both sides: \(x = 180^{\circ}-140^{\circ}\).

Answer:

\(40\)