document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248897>Question 248897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181356 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=181356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> complement of an angle is 90 degrees minus the angle.\r<BR>\n" );
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document.write( "let a be the angle.\r<BR>\n" );
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document.write( "a = (90-a)/2 - 18\r<BR>\n" );
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document.write( "this means that the angle equals half its complement minus 18 degrees.\r<BR>\n" );
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document.write( "this means the same as the angle equals 18 degrees less than half its complement.\r<BR>\n" );
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document.write( "solve for a.\r<BR>\n" );
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document.write( "equation is:\r<BR>\n" );
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document.write( "a = (90-a)/2 - 18\r<BR>\n" );
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document.write( "simplify by removing parentheses to get:\r<BR>\n" );
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document.write( "a = 90/2 - a/2 - 18\r<BR>\n" );
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document.write( "simplify further to get:\r<BR>\n" );
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document.write( "a = 45 - a/2 - 18\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "a = 27 - a/2\r<BR>\n" );
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document.write( "add a/2 to both sides to get:\r<BR>\n" );
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document.write( "a + a/2 = 27\r<BR>\n" );
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document.write( "multiply both sides of the equation by 2 to get:\r<BR>\n" );
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document.write( "2a + a = 54\r<BR>\n" );
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document.write( "combine like terms to get\r<BR>\n" );
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document.write( "3a = 54\r<BR>\n" );
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document.write( "divide both sides of the equation by 3 to get:\r<BR>\n" );
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document.write( "a = 18\r<BR>\n" );
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document.write( "your answer should be that the angle is equal to 18 degrees.\r<BR>\n" );
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document.write( "if the angle is 18 degrees, then its complement is equal to 90 - 18 = 72 degrees.\r<BR>\n" );
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document.write( "half its complement is equal to half of 72 is equal to 36 degrees\r<BR>\n" );
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document.write( "18 degrees less than that is equal to 36 - 18 is equal to 18 degrees.\r<BR>\n" );
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document.write( "Your answer is that the measure of the angle is 18 degrees. </SPAN>\n" );
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