In order to find this we must first note that complementary angles have a sum of 90. Now we can set the smaller angle as x and the larger angle as 4x + 30. Now find the sum and set equal to 90.
x + 4x + 30 = 90
5x + 30 = 90
5x = 60
x = 12
This makes the first angle 12 and we can find the larger angle.