SOLUTION: The measures of two complementary angles are 12q-9 and 8q+14. Find the measures of the angles.
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Question 79421This question is from textbook geometry reasoning
: The measures of two complementary angles are 12q-9 and 8q+14. Find the measures of the angles.
This question is from textbook geometry reasoning
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
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
:
Sanity Check, do the angles add up to 90 degrees?
42+38=90 yes
:
Happy Calculating!!!!
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