Answer: The measure of the acute angles are 62degrees and 28 degrees.
Step-by-step explanation:
Let x represent the measure of one of the acute angles of the right angle triangle.
Let y represent the measure of the other acute angle of the right angle triangle.
One of the acute angles in a right triangle measures 22 degrees less than 3 times the other acute angle. This means that
x = 3y - 22
The sum of two acute angles in a right triangle is 90 degrees. This is expressed as
x + y = 90 - - - - - - - -1
Substituting x = 3y - 22 into equation 1, it becomes
3y - 22 + y = 90
4y = 90 + 22= 112
y = 112/4 = 28
x = 90 - y = 90 - 28
x = 62
