The angles measure 21 degrees and 69 degrees.
To find this, start with the complementary angle. We'll set that as the basic variable of x. Now we know the second angle is 6 degrees more than 3 times that first angle. This gives us the measure of 3x + 6.
Since complementary angles add up to 90 degrees, we can add the two measurements and set equal to 90 to solve.
x + 3x + 6 = 90
4x + 6 = 90
4x = 84
x = 21
This gives us the first angle of 21. Then we can find the others using the equation we already created and the x value.
3x + 6
3(21) + 6
63 + 6
69