SOLUTION: Consider two supplementary angles (angle 1 and angle 2). The measure of angle 1 is 9 degrees less than half the measure of angle 2. Find the measures of angle 1 and angle 2.

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Question 945041: Consider two supplementary angles (angle 1 and angle 2). The measure of angle 1 is 9 degrees less than half the measure of angle 2. Find the measures of angle 1 and angle 2.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%5B1%5D%2BA%5B2%5D=180
A%5B1%5D=%281%2F2%29A%5B2%5D-9
Substitute into the first equation,
%281%2F2%29A%5B2%5D-9%2BA%5B2%5D=180
%283%2F2%29A%5B2%5D=189
A%5B2%5D=126
Then,
A%5B1%5D=%28126%29%2F2-9
A%5B1%5D=63-9
A%5B1%5D=54