Question

a right triangle has one angle that measures 40°. 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 $90^{\circ}+40^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}-(90^{\circ} + 40^{\circ})$.
$x = 180^{\circ}-130^{\circ}$.
$x = 50^{\circ}$.

Answer:

50