One acute angle of a right triangle is 4 degrees larger than twice the other acute angle. what are the measures of the acute angles?

You have only two variables X and Y to signify the angles

Together they must equal 90, because its a right triangle and one angle is 90

2X+4=Y

X+Y=90

Solve for Y

Y=90-X

Set the Y's equal to each other

2X+4=90-X

Isolate the X

3X=86

X=~28.66

Y=~61.34