document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=158825>Question 158825</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you help with this problem?  It is from a worksheet.\r<BR>\n" );
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document.write( "The excess of an angle over its supplement is 20 degrees.  Find the angle.\r<BR>\n" );
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document.write( "I tried  x/180-x = 20  It doesn' come out even. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116978 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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=116978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help,<BR>\n" );
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document.write( "Could you help with this problem? It is from a worksheet. <BR>\n" );
document.write( "The excess of an angle over its supplement is 20 degrees. Find the angle. <BR>\n" );
document.write( "I tried x/180-x = 20 It doesn' come out even.<BR>\n" );
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document.write( "Supplementary angles always add up to 180 degrees<BR>\n" );
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document.write( "first we have to find the variables of the angles<BR>\n" );
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document.write( "The excess of an angle over its supplement is 20 degrees (excess means exceeding, or more than)<BR>\n" );
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document.write( "One angles would be \"x\"<BR>\n" );
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document.write( "The other angle ( The excess of an angle over its supplement is 20 degrees) is \"x+20\" ( This angle is 20 degrees more than the first angle \"x\")<BR>\n" );
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document.write( "One angle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees<BR>\n" );
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document.write( "The second angle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+20+ ALIGN=MIDDLE  ALT=\"+x+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees<BR>\n" );
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document.write( "Now just add the angles together (supplementary angles add up to 180 degrees<BR>\n" );
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document.write( "The equation would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%29+%2B+%28x%2B20%29+=+180+ ALIGN=MIDDLE  ALT=\"+%28x%29+%2B+%28x%2B20%29+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, now just solve for \"x\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%29+%2B+%28x%2B20%29+=+180+ ALIGN=MIDDLE  ALT=\"+%28x%29+%2B+%28x%2B20%29+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+x+%2B+20+=+180+ ALIGN=MIDDLE  ALT=\"+x+%2B+x+%2B+20+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, add like terms<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+x+%2B+20+=+180+ ALIGN=MIDDLE  ALT=\"+x+%2B+x+%2B+20+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28x%29+%2B+highlight%28x%29+%2B+20+=+180+ ALIGN=MIDDLE  ALT=\"+highlight%28x%29+%2B+highlight%28x%29+%2B+20+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+20+=+180+ ALIGN=MIDDLE  ALT=\"+2x+%2B+20+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Move \"20\" to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+20+=+180+ ALIGN=MIDDLE  ALT=\"+2x+%2B+20+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+20+-+20+=+180+-+20+ ALIGN=MIDDLE  ALT=\"+2x+%2B+20+-+20+=+180+-+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+160+ ALIGN=MIDDLE  ALT=\"+2x+=+160+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To solve for \"x\" we will divide each side by \"2\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+160+ ALIGN=MIDDLE  ALT=\"+2x+=+160+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%2F2+=+160%2F2+ ALIGN=MIDDLE  ALT=\"+2x%2F2+=+160%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+80++ ALIGN=MIDDLE  ALT=\"+x+=+80++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+ ALIGN=MIDDLE  ALT=\"+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can check by replacing \"x\" with \"80\" in our equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%29+%2B+%28x%2B20%29+=+180+ ALIGN=MIDDLE  ALT=\"+%28x%29+%2B+%28x%2B20%29+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2880%29+%2B+%28%2880%29%2B20%29+=+180+ ALIGN=MIDDLE  ALT=\"+%2880%29+%2B+%28%2880%29%2B20%29+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+%2B+%28100%29+=+180+ ALIGN=MIDDLE  ALT=\"+80+%2B+%28100%29+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+%2B+100+=+180+ ALIGN=MIDDLE  ALT=\"+80+%2B+100+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+180+=+180+ ALIGN=MIDDLE  ALT=\"+180+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (True)<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+ ALIGN=MIDDLE  ALT=\"+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Our two angle measurements were: (Replace \"x\" with \"80\" )<BR>\n" );
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document.write( "One angle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+ ALIGN=MIDDLE  ALT=\"+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees<BR>\n" );
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document.write( "The second angle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+20+ ALIGN=MIDDLE  ALT=\"+x+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80%2B20+ ALIGN=MIDDLE  ALT=\"+80%2B20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100+ ALIGN=MIDDLE  ALT=\"+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees<BR>\n" );
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document.write( "The two angles add up to 180 degrees, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+%2B+100+=+180+ ALIGN=MIDDLE  ALT=\"+80+%2B+100+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+180+=+180+ ALIGN=MIDDLE  ALT=\"+180+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (True)<BR>\n" );
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document.write( "The two angles are:<BR>\n" );
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document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+ ALIGN=MIDDLE  ALT=\"+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees<BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100+ ALIGN=MIDDLE  ALT=\"+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees, (the first angle's supplement)<BR>\n" );
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document.write( "Hope I helped, Levi </SPAN>\n" );
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