document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167847>Question 1167847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measure of the supplement of an angle exceeds 4 times the measure of the complement by 24. Find the supplement.	 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #792464 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=792464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the supplement of an angle is 180 minus the angle.\r<BR>\n" );
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document.write( "the complement of an angle is 90 minus the angle.\r<BR>\n" );
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document.write( "you are given that the supplement of the angle exceeds 4 times the complement of the angle by 24.\r<BR>\n" );
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document.write( "let x represent the angle.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "180 - x = 4 * (90 - x) + 24\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "180 - x = 360 - 4x + 24\r<BR>\n" );
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document.write( "subtract 180 from both sides of the equation and add 4x to both sides of the equation to get:\r<BR>\n" );
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document.write( "-x + 4x = 360 + 24 - 180\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "3x = 204\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x = 204/3 = 68.\r<BR>\n" );
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document.write( "the measure of the angle is 68 degrees.<BR>\n" );
document.write( "the supplement of the angle is 180 - 68 = 112 degrees<BR>\n" );
document.write( "the complement of the angle is 90 - 68 = 22 degrees.\r<BR>\n" );
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document.write( "the supplement of the angle is 112 degrees.<BR>\n" );
document.write( "4 times the complement of the angle + 24 degrees = 4*22 + 24 = 112 degrees.\r<BR>\n" );
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document.write( "this confirms the solution is correct.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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