Question

a right triangle has one angle that measures 22°. 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 $90^{\circ}+22^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

First, simplify the left - hand side: $112^{\circ}+x = 180^{\circ}$. Then, subtract 112° from both sides: $x=180^{\circ}-112^{\circ}$.
$x = 68^{\circ}$

Answer:

68