Let x = the smaller angle then 2x + 6 = the larger angle Since they are comlementary, then their sum is 90° smaller angle + larger angle = 90° (x) + (2x+6) = 90 3x + 6 = 90 3x = 84 x = 28 (this is the smaller angle) the larger angle is 2x + 6 = 2(28) + 6 = 56 + 6 = 62