Let be the measure of the smaller . Therefore, the measure of the larger acute angle is Let's illustrate this information with a diagram.
According to the the sum of the interior angles of a triangle is
Let's keep in mind that the right angle has the measure
Let's solve this equation.
The measure of the smaller acute angle is
Now, we can find the measure of the greater acute angle by substituting this value in
The measure of the larger acute angle is