angles are complementary when their sum is 90 degrees.
let's call your two (complementary) angles x and y.
we know two things about x and y:
1. x + y = 90
2. y = 29 * x
we can combine these two facts - one way is
x + y = x + (29 * x) = 30 * x = 90 or x = 3 degrees. if x=3, then y=29*3=90-3=87 degrees.
+30 
