document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1123535>Question 1123535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the measures of two complementary angles exceeds the difference of the measures of their supplements by 32 degrees. Find the measure of each angle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739881 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=739881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) x + y = 90<BR>\n" );
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document.write( "2) x + s1 = 180<BR>\n" );
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document.write( "3) y + s2 = 180<BR>\n" );
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document.write( "90 = s1 -s2 +32<BR>\n" );
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document.write( "4) s1 - s2 = 90 - 32 = 58<BR>\n" );
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document.write( "solve equation 2 and equation 3 for s1 and s2<BR>\n" );
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document.write( "s1 = 180 - x<BR>\n" );
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document.write( "s2 = 180 - y<BR>\n" );
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document.write( "substitute for s1 and s2 in equation 4<BR>\n" );
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document.write( "(180 - x) - (180 - y) = 58<BR>\n" );
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document.write( "5) y - x = 58<BR>\n" );
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document.write( "use equations 1 and 5, we have two equations in two unknowns<BR>\n" );
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document.write( "solve equation 1 for y<BR>\n" );
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document.write( "y = 90 - x<BR>\n" );
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document.write( "substitute for y in equation 5<BR>\n" );
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document.write( "90 - x - x = 58<BR>\n" );
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document.write( "-2x = -32<BR>\n" );
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document.write( "x = 16<BR>\n" );
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document.write( "y = 90 - 16 = 74<BR>\n" );
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document.write( "x = 16 degrees and y = 74 degrees<BR>\n" );
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document.write( "s1 = 180 - 16 = 164 degrees<BR>\n" );
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document.write( "s2 = 180 - 74 = 106 degrees<BR>\n" );
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document.write( "x + y = 90 degrees<BR>\n" );
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document.write( "s1 - s2 = 164 - 106 = 58 degrees<BR>\n" );
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document.write( "Note 58 + 32 = 90 degrees<BR>\n" );
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