document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=785529>Question 785529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each exterior angle is 100º less than its interior angle of a regular polygon. Find the number of sides of the polygon.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477605 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=477605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The exterior and interior angles of a polygon are supplementary *adding to 180^o}}}.<BR>\n" );
document.write( "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 an interior angle in degrees.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-x ALIGN=MIDDLE  ALT=\"180-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = measure of the corresponding exterior angle in degrees.<BR>\n" );
document.write( "The problem says that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-x=x-100 ALIGN=MIDDLE  ALT=\"180-x=x-100\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%2B100-x=x ALIGN=MIDDLE  ALT=\"180%2B100-x=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=280-x=x ALIGN=MIDDLE  ALT=\"280-x=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=280=x%2Bx ALIGN=MIDDLE  ALT=\"280=x%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=280=2x ALIGN=MIDDLE  ALT=\"280=2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=280%2F2=x ALIGN=MIDDLE  ALT=\"280%2F2=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=140 ALIGN=MIDDLE  ALT=\"x=140\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the exterior angles measure <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo-140%5Eo=40%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo-140%5Eo=40%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The exterior angles are the angles you have to turn (deviate from your original direction when going around the polygon, so they add to <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;\" >, because going one full turn around you are doing a <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( "This is a regular polygon, so it is very symmetrical:<BR>\n" );
document.write( "all the exterior angles measure the same <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%5Eo ALIGN=MIDDLE  ALT=\"40%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "all the interior angles measure the same <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=140%5Eo ALIGN=MIDDLE  ALT=\"140%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and<BR>\n" );
document.write( "all the sides have the same length, which we do not know and do not care.<BR>\n" );
document.write( "So if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of sides/exterior angles of the regular polygon, and all those exterior angles measure <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%5Eo ALIGN=MIDDLE  ALT=\"40%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2A%2840%5Eo%29=360%5Eo ALIGN=MIDDLE  ALT=\"n%2A%2840%5Eo%29=360%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=360%5Eo%2F%2840%5Eo%29 ALIGN=MIDDLE  ALT=\"n=360%5Eo%2F%2840%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n=9%29 ALIGN=MIDDLE  ALT=\"highlight%28n=9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );