What is the measure of the other acute angle ?

Answer: 58°
Step-by-step explanation:
We know it's a right triangle, one of them must be 90°. The sum of the three interior angles are 180°, so we know the sum of the other two angles is 180 - 90 = 90°.
If one of the angles is 32°, another angle is 90 - 32 = 58°