SOLUTION: The sum of the measures of two complementary angles exceeds the difference of their measures by 86�. Find the measure of each angle. If possible show a little work to help me unde

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Question 220676: The sum of the measures of two complementary angles exceeds the difference of their measures by 86�. Find the measure of each angle.
If possible show a little work to help me understand please.
Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website!
The sum of the measures of two complementary angles exceeds the difference of their measures by 86�. Find the measure of each angle.
.
You will need to know that the sum of "two complementary angles" is 90
therefore
Let x = one angle
then
90-x = second angle
.
Now, we construct our equation based on the sentence:
"The sum of the measures of two complementary angles exceeds the difference of their measures by 86�."
x + 90-x = x-(90-x)+86
90 = x-90+x+86
90 = 2x-90+86
90 = 2x-4
94 = 2x
47 degrees = x (first angle)
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Second angle:
90-x = 90-47 = 43 degrees (second angle)