Question

The measure of one acute angle of a right triangle is 12 more than 3 times the measure of the other acute angle. Find the measure of each acute angle of the right triangle

Answer 1

The sum of the two acute angles is 90 degrees. Set this up in the form of the following equation.
$x + 3x + 12 = 90$
We know this because the two angles are x and 3x + 12. 
From here you just need to solve. 
$4x = 78$
$x = \frac{39}{2}$, or 19.5
This is the measure of one angle. The measure of the other angle is therefore, after a few calculations, 70.5.

19.5 degrees, 70.5 degrees.