In a right triangle the acute measure x+15and2x degrees. What is the measure of the larger acute angle of the triangle

All 3 angles need to equal 180 degrees

the right angle = 90 degrees

so the other 2 angles need to equal 180 - 90 = 90 degrees

so now you have x + 15 + 2x = 90

combine like terms 3x + 15 = 90

subtract 15 from each side: 3x = 75

divide each side by 3: x = 75/3 = 25

x = 25

x+15 = 25+15 = 40

2x = 2*25 = 50

the larger angle is 50 degrees