Question 79421
The measures of two complementary angles are 12q-9 and 8q+14. Find the measures of the angles.
Complementary angles add together to make 90 degrees.
(12q-9)+(8q+14)=90
12q-9+8q+14=90
20q+5=90
20q+5-5=90-5
20q=85
20q/21=85/20
q=17/4 
One angle measures to be: 
12(17/4)-9
3(17)-9
51-9=42 degrees
The other angle measures to be:
8(17/4)+14
2(17)+14
24+14=38 degrees
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Sanity Check, do the angles add up to 90 degrees?
42+38=90 yes
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Happy Calculating!!!!