In a right triangle, the measure of one acute angle is 2 times the sum of the measure of the other acute angle and 6. find the measure of each acute angle.

Let one acute angle be x

The other acute angle = 2 (x + 6)

The sum of all the 3 angles in a triangle add up to 180

x + 2 (x + 6) + 90 = 180

x + 2x + 12 + 90 = 180

3x + 102 = 180

3x = 78

x = 26

one acute angle = x = 26

the other acute angle = 2 (x + 6) = 2 (26 + 6) = 64

Answer: The two acute angles are 26° and 64°