( 12q - 9 ) + ( 8q + 14 ) = 90
Combine like Terms: 20q + 5 = 90
Subtract 5 from both sides: 20q = 85
Divide both sides by 20:
So your angle is or or 4.25 degrees

Your number format is up to your teacher, all answers are equivalent

Answer by longjonsilver(2297)   (Show Source): You can put this solution on YOUR website!
complementary angles add up to 90.

so 12q-9 + 8q+14 = 90
20q + 5 = 90
20q = 85
--> q = 85/20
--> q = 4.25

so the 2 angles are:
12(4.25) - 9 --> 42
8(4.25) + 14 --> 48

jon