We are given that the measure of one acute angle is 5 times the measure of the other acute angle.
Let us assume the measure of the other acute angle = x degree.
First acute angle is 5 times the other, that is = 5x degrees.
Both angles are making a right angle.
A right angle sum upto 90 degrees.
Therefore,
x+5x = 90.
6x = 90.
Dividing both sides by 6, we get
x =15.