Question 12578
Two complementary angles are angles whose sum is 90, so add your two angles together, set them equal to 90 and solve.
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( 12q - 9 ) + ( 8q + 14 ) = 90
Combine like Terms: 20q + 5 = 90
Subtract 5 from both sides: 20q = 85
Divide both sides by 20: {{{ q = 4(1/4) }}}

So your angle is {{{4(1/4) degrees}}} or {{{(17/4) degrees}}} or 4.25 degrees
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Your number format is up to your teacher, all answers are equivalent