document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129552>Question 129552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the measure(in degrees) of an angle whose complement is four-ninths its supplement.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96728 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the angle.  The complement of the angle is then 90 - x.  The supplement is 180 - x.\r<BR>\n" );
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document.write( "The complement of an angle (90 - x) is (=) four-ninths (4/9) of (* - meaning multiply) its supplement (180 - x):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90-x=%284%2F9%29%28180-x%29 ALIGN=MIDDLE  ALT=\"90-x=%284%2F9%29%28180-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply both sides by 9 then distribute the 4:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=810-9x=720-4x ALIGN=MIDDLE  ALT=\"810-9x=720-4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 4x to both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=810-5x=720 ALIGN=MIDDLE  ALT=\"810-5x=720\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add -810 to both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x=-90 ALIGN=MIDDLE  ALT=\"-5x=-90\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by -5:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=18 ALIGN=MIDDLE  ALT=\"x=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The measure of the angle is 18 degrees.\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "The complement of an angle that measures 18 degrees measures 72 degrees.  The supplement of an angle that measures 18 degrees is 162 degrees.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F9%29%28162%29=4%2A18=72 ALIGN=MIDDLE  ALT=\"%284%2F9%29%28162%29=4%2A18=72\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Answer checks. </SPAN>\n" );
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