document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215106>Question 215106</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if the suppliment of an angle is 20 more than 2 times its compliment, what is the original angle, its compliment, and its suppliment<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162533 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let \r<BR>\n" );
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document.write( "x = measure of unknown angle<BR>\n" );
document.write( "y = measure of complement angle to angle 'x'<BR>\n" );
document.write( "z = measure of supplement angle to angle 'x'\r<BR>\n" );
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document.write( "Since we know that 'x' and 'y' are complement angles (ie the angles add to 90 degrees), this means <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;\" >. Likewise, 'x' and 'z' are supplement angles (the angles add to 180 degrees), so <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;\" >.\r<BR>\n" );
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document.write( "Furthermore, we're told that we have an \"angle whose supplement measures 20 more than twice its compliment\" which means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2y%2B20 ALIGN=MIDDLE  ALT=\"z=2y%2B20\"   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;\" > Start with the first equation.\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;\" > Subtract x from both sides.<BR>\n" );
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document.write( "----------------\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;\" > Move onto the second equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=180-x ALIGN=MIDDLE  ALT=\"z=180-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract x from both sides.\r<BR>\n" );
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document.write( "----------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2y%2B20 ALIGN=MIDDLE  ALT=\"z=2y%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Move to the third equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2%2Ahighlight%28%2890-x%29%29%2B20 ALIGN=MIDDLE  ALT=\"z=2%2Ahighlight%28%2890-x%29%29%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <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=highlight%28180-x%29=2%2890-x%29%2B20 ALIGN=MIDDLE  ALT=\"highlight%28180-x%29=2%2890-x%29%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=180-x ALIGN=MIDDLE  ALT=\"z=180-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=180-x=180-2x%2B20 ALIGN=MIDDLE  ALT=\"180-x=180-2x%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-x=-2x%2B200 ALIGN=MIDDLE  ALT=\"180-x=-2x%2B200\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x=-2x%2B200-180 ALIGN=MIDDLE  ALT=\"-x=-2x%2B200-180\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180 ALIGN=MIDDLE  ALT=\"180\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B2x=200-180 ALIGN=MIDDLE  ALT=\"-x%2B2x=200-180\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=200-180 ALIGN=MIDDLE  ALT=\"x=200-180\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=20 ALIGN=MIDDLE  ALT=\"x=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=20 ALIGN=MIDDLE  ALT=\"x=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "This means that the unknown angle is 20 degrees.\r<BR>\n" );
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document.write( "So the complement is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=90-x=90-20=70 ALIGN=MIDDLE  ALT=\"y=90-x=90-20=70\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees\r<BR>\n" );
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document.write( "and the supplement is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=180-x=180-20=160 ALIGN=MIDDLE  ALT=\"z=180-x=180-20=160\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees. </SPAN>\n" );
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