document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=711078>Question 711078</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the complement and the supplement of an angle is 190. What is the measure of the angle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437287 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=437287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Define the following variables:<BR>\n" );
document.write( "A=Angle you are looking for<BR>\n" );
document.write( "C=A's Complement<BR>\n" );
document.write( "S=A's Supplement<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "You can write the following equations:<BR>\n" );
document.write( "Equation 1: C+S=190<BR>\n" );
document.write( "Equation 2: A+C=90<BR>\n" );
document.write( "Equation 3: A+S=180\r<BR>\n" );
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document.write( "You have 3 equations and 3 unknowns. Anytime you can write as many equations as you have unknowns, you can solve the problem. <BR>\n" );
document.write( "There are several ways to proceed from here. Here is one way:<BR>\n" );
document.write( "Subtract Equation #2 from Equation #3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-A%2BS-C=180-90 ALIGN=MIDDLE  ALT=\"A-A%2BS-C=180-90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify this. The A term goes away since A-A=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S-C=90 ALIGN=MIDDLE  ALT=\"S-C=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for S:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=90%2BC ALIGN=MIDDLE  ALT=\"S=90%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this expression for S into Equation #1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2B90%2BC=190 ALIGN=MIDDLE  ALT=\"C%2B90%2BC=190\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for C:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2C=100 ALIGN=MIDDLE  ALT=\"2C=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=50 ALIGN=MIDDLE  ALT=\"C=50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that you know C, you can substitute that into Equation #2 to find A:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2B50=90 ALIGN=MIDDLE  ALT=\"A%2B50=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A=40%29 ALIGN=MIDDLE  ALT=\"highlight%28A=40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );