SOLUTION: The measures of two complementary angles are 12q-9 and 8q+14. Find the measures of the angles.

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Question 12578: The measures of two complementary angles are 12q-9 and 8q+14. Find the measures of the angles.
Found 2 solutions by AdolphousC, longjonsilver:
Answer by AdolphousC(70) About Me  (Show Source):
You can put this solution on YOUR website!
Two complementary angles are angles whose sum is 90, so add your two angles together, set them equal to 90 and solve.


( 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%281%2F4%29+
So your angle is 4%281%2F4%29+degrees or %2817%2F4%29+degrees or 4.25 degrees


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


Answer by longjonsilver(2297) About Me  (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