SOLUTION: The sum of the measure of two complementaty angles exceeds the difference of their measure by 132 degree. Find the measure of each angle

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Question 157437: The sum of the measure of two complementaty angles exceeds the difference of their measure by 132 degree. Find the measure of each angle
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the angles, A and B.
SInce they're complementary,
1.A%2BB=90
"The sum of the measure of two complementaty angles exceeds the difference of their measure by 132 degrees"
2.%28A%2BB%29=%28A-B%29%2B132
From 1,
A%2BB=90
Then 2 becomes,
2.90=%28A-B%29%2B132
2.A-B=-42
Add 1 and 2 together to get rid of B.
%28A%2BB%29%2B%28A-B%29=90-42
2A=48
highlight%28A=24%29
From eq. 1,
A%2BB=90
24%2BB=90
highlight%28B=66%29