document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037922>Question 1037922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The exterior angle of a regular polygon is one-third of its interior angle. How many sides has the polygon <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #652591 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=652591\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sum of the interior and exterior angle at the one vertex is 180 degrees for a straight angle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The two angles are v and 3v.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%2B3v=180 ALIGN=MIDDLE  ALT=\"v%2B3v=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4v=180 ALIGN=MIDDLE  ALT=\"4v=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=180%2F4 ALIGN=MIDDLE  ALT=\"v=180%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=2%2A3%2A3%2A2%2A5%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"v=2%2A3%2A3%2A2%2A5%2F%282%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28v=45%29 ALIGN=MIDDLE  ALT=\"highlight%28v=45%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------the exterior angle.  The interior angle is 135 degrees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " A route of thinking:  Starting with a triangle, regular polygon has 180 degrees, sum of the interior angles.   Four sides is added another 180 degrees.  5 sides, another 180 degrees.<BR>\n" );
document.write( "--<BR>\n" );
document.write( "You can build a chart of this.\r<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "n        Interior Degrees     Degrees at a vertex\r\n" );
document.write( "3            180                 60\r\n" );
document.write( "4            360                 90\r\n" );
document.write( "5            540                108\r\n" );
document.write( "6            720                120\r\n" );
document.write( "7            900                128.57\r\n" );
document.write( "8           1080                135\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "There it is.   Eight sides regular polygon. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );