one angle of a right triangle measures 10°. 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 acute angle is 10° and the right - angle is 90°. So, (x + 10^{\circ}+90^{\circ}=180^{\circ}).

Step3: Solve for (x)

[ \begin{align*} x&=180^{\circ}-(90^{\circ} + 10^{\circ})\ x&=180^{\circ}-100^{\circ}\ x& = 80^{\circ} \end{align*} ]

Answer:

80