Question

a right triangle has one angle that measures 50°. 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 that \(90^{\circ}+50^{\circ}+x = 180^{\circ}\).

Step3: Solve for \(x\)

First, simplify the left - hand side: \(140^{\circ}+x=180^{\circ}\). Then, subtract 140° from both sides: \(x = 180^{\circ}-140^{\circ}\). So, \(x = 40^{\circ}\).

Answer:

40