document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=855465>Question 855465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in a regular polygon, each exterior angle is 140 degrees less than each interior angle. How many sides has the polygon? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #515372 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=515372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An exterior angle is the angle you turn at each vertex as you go around the polygon:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-6%2C4%2C-4%2C6%2C%0D%0Aline%280%2C0%2C0%2C-6%29%2Cline%280%2C0%2C-4%2C6%29%2C%0D%0Agreen%28line%280%2C0%2C0%2C6%29%29%2Cred%28arc%280%2C0%2C4%2C4%2C-126.9%2C-90%29%29%2C%0D%0Alocate%28-0.8%2C1.9%2Cred%28exterior%29%29%2C%0D%0Alocate%28-0.6%2C1.5%2Cred%28angle%29%29%2C%0D%0Alocate%280.1%2C0.2%2Cvertex%29%2Clocate%28-1.2%2C-2%2Cside%29%2C%0D%0Alocate%28-3%2C3%2Cside%29%2Cblue%28arc%280%2C0%2C3.5%2C3.5%2C90%2C-126.9%29%29%2C%0D%0Alocate%28-2.3%2C0.2%2Cblue%28interior%29%29%2C%0D%0Alocate%28-1.4%2C-0.4%2Cblue%28angle%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > The sum of the measures of all exteror angles is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%5Eo ALIGN=MIDDLE  ALT=\"360%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "An exterior angle is supplementary to the interior angle,<BR>\n" );
document.write( "so if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= measure of each exterior angle in degrees,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B140 ALIGN=MIDDLE  ALT=\"x%2B140\"   DISABLED_style= \"max-width:90%; height:auto;\" >= measure of each interior angle in degrees,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%28x%2B140%29=180 ALIGN=MIDDLE  ALT=\"x%2B%28x%2B140%29=180\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "Solving for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%28x%2B140%29=180 ALIGN=MIDDLE  ALT=\"x%2B%28x%2B140%29=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bx%29%2B140=180 ALIGN=MIDDLE  ALT=\"%28x%2Bx%29%2B140=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B140=180 ALIGN=MIDDLE  ALT=\"2x%2B140=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=180-140 ALIGN=MIDDLE  ALT=\"2x=180-140\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=40 ALIGN=MIDDLE  ALT=\"2x=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=40%2F2 ALIGN=MIDDLE  ALT=\"x=40%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "If it is a regular polygon with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides, it has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > exterior angles,<BR>\n" );
document.write( "each measuring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%5Eo ALIGN=MIDDLE  ALT=\"20%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and the sum of their measures (in degrees) is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20n=360 ALIGN=MIDDLE  ALT=\"20n=360\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=360%2F2 ALIGN=MIDDLE  ALT=\"n=360%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n=18%29 ALIGN=MIDDLE  ALT=\"highlight%28n=18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The polygon has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2818%29 ALIGN=MIDDLE  ALT=\"highlight%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );