document.write( "Question 898544: The sum of the measures of 2 complementary angles exceeds the difference of the measures of their supplements by 32 degrees. Find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #544883 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
x and y are the measures of two complementary angles.\r
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\n" ); document.write( "\n" ); document.write( "x+y=90.\r
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\n" ); document.write( "\n" ); document.write( "The rest of the description transcribes to \"90-%28%28180-x%29-%28180-y%29%29=2\".
\n" ); document.write( "You use meaning of supplementary angles, that their sum is 180 degrees.\r
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\n" ); document.write( "\n" ); document.write( "Simplify the more complicated equation.
\n" ); document.write( "\"90-%28180-180-x%2By%29=2\"
\n" ); document.write( "\"90-%28y-x%29=2\"
\n" ); document.write( "\"90%2Bx-y=2\"
\n" ); document.write( "\"x-y=-88\"
\n" ); document.write( "\"y-x=88\"\r
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\n" ); document.write( "\n" ); document.write( "NOW you have a simplifies SYSTEM of equations:
\n" ); document.write( "\"system%28x%2By=90%2Cy-x=88%29\"\r
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\n" ); document.write( "\n" ); document.write( "If you begin with elimination method, you eliminate x and solve for y value.
\n" ); document.write( "\"x%2By%2By-x=90%2B88\"
\n" ); document.write( "\"2y=90%2B88\"
\n" ); document.write( "\"y=45%2B44\"
\n" ); document.write( "\"highlight%28y=89%29\"\r
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\n" ); document.write( "\n" ); document.write( "This means \"highlight%28x=1%29\".
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