In a right triangle, one of the two smaller angles, x, is 6 degrees less than twice the other smaller angle, y, what are the measures of the two smaller angles?

A triangle has 3 angles, and when added, they equal 180

a right triangle has 1 angle equal to 90

x = 2y - 6

x + y = 180 - 90

2y - 6 + y = 90

3y - 6 = 90

3y = 90 + 6

3y = 96

y = 96/3

y = 32

x = 2y - 6

x = 2 (32) - 6

x = 64 - 6

x = 58

so < x = 58 and < y 32