Question

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