One of the acute angles in a right triangle measures 22 degrees less than 3 times the other acutely angle. The sum of two acute angles in a right triangle is 90 degrees. Write a system of two equations in two unknowns and solve it to find the measure of each acute angle.

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

true !

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