document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146556>Question 146556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an angle of x degree has property that its complement is equal to 1/6 of 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 #107018 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=107018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> definitions:\r<BR>\n" );
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document.write( "Complementary Angles: Two angles that add up to 90°\r<BR>\n" );
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document.write( "Supplementary Angles: Two angles that add up to 180°\r<BR>\n" );
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document.write( "Given:\r<BR>\n" );
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document.write( "an angle of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+ ALIGN=MIDDLE  ALT=\"x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >degree<BR>\n" );
document.write( "let its complement be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+ ALIGN=MIDDLE  ALT=\"y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >degree<BR>\n" );
document.write( "let its supplement be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+ ALIGN=MIDDLE  ALT=\"+z+\"   DISABLED_style= \"max-width:90%; height:auto;\" >degree\r<BR>\n" );
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document.write( "so, we have the system:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=90 ALIGN=MIDDLE  ALT=\"x%2By=90\"   DISABLED_style= \"max-width:90%; height:auto;\" > …………(1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bz=180 ALIGN=MIDDLE  ALT=\"x%2Bz=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >………….(2)\r<BR>\n" );
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document.write( "if its complement y is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > of its supplement, we will have: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%2F6%28z%29 ALIGN=MIDDLE  ALT=\"y=1%2F6%28z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=90 ALIGN=MIDDLE  ALT=\"x%2By=90\"   DISABLED_style= \"max-width:90%; height:auto;\" > …………substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6%28z%29 ALIGN=MIDDLE  ALT=\"1%2F6%28z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1%2F6%28z%29=90 ALIGN=MIDDLE  ALT=\"x%2B1%2F6%28z%29=90\"   DISABLED_style= \"max-width:90%; height:auto;\" >…multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2Bz=540 ALIGN=MIDDLE  ALT=\"6x%2Bz=540\"   DISABLED_style= \"max-width:90%; height:auto;\" >………solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=540-6x ALIGN=MIDDLE  ALT=\"z=540-6x\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….substitute into (2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bz=180 ALIGN=MIDDLE  ALT=\"x%2Bz=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >………….(2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B540-6x+=180 ALIGN=MIDDLE  ALT=\"x%2B540-6x+=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=540-5x+=180 ALIGN=MIDDLE  ALT=\"540-5x+=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=540-180+=5x ALIGN=MIDDLE  ALT=\"540-180+=5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360=5x ALIGN=MIDDLE  ALT=\"360=5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=72 ALIGN=MIDDLE  ALT=\"x+=72\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….the angle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=540-6x ALIGN=MIDDLE  ALT=\"z=540-6x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=540-6%2872%29 ALIGN=MIDDLE  ALT=\"z=540-6%2872%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=540-+432 ALIGN=MIDDLE  ALT=\"z=540-+432\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=+108 ALIGN=MIDDLE  ALT=\"z=+108\"   DISABLED_style= \"max-width:90%; height:auto;\" >………… its <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=supplement ALIGN=MIDDLE  ALT=\"supplement\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=90 ALIGN=MIDDLE  ALT=\"x%2By=90\"   DISABLED_style= \"max-width:90%; height:auto;\" > …………(1)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=90-+x ALIGN=MIDDLE  ALT=\"y=90-+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=90-+72 ALIGN=MIDDLE  ALT=\"y=90-+72\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=18 ALIGN=MIDDLE  ALT=\"y=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….. its <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=complement ALIGN=MIDDLE  ALT=\"complement\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check:\r<BR>\n" );
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document.write( "its complement y is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > of its supplement: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%2F6%28z%29 ALIGN=MIDDLE  ALT=\"y=1%2F6%28z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18=1%2F6%28108%29 ALIGN=MIDDLE  ALT=\"18=1%2F6%28108%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18=18 ALIGN=MIDDLE  ALT=\"18=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );