A right triangle has one angle that measures 15°. what is the measure of the other acute angle?

If it is a right triangle, then one of the angles is 90°. We are also given another angle of 15°. The angles in a triangle add up to 180°, therefor to find the missing angle we must add the known angles together and subtract this value from 180:

180 - (90 + 15)

= 180 - 105

= 75°