document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155049>Question 1155049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The exterior angle of a polygon is one third the interior angle .calculate the number of sides of 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 #777595 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=777595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> That would be a <em>regular</em> polygon.\r<BR>\n" );
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document.write( "x is the exterior angle\r<BR>\n" );
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document.write( "x + 3x = 180<BR>\n" );
document.write( "   4x = 180<BR>\n" );
document.write( "    x = 45  <BR>\n" );
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document.write( "Note that for a regular polygon with exterior angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta ALIGN=MIDDLE  ALT=\"+theta\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  <BR>\n" );
document.write( "number_of_sides = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360%2Ftheta+ ALIGN=MIDDLE  ALT=\"+360%2Ftheta+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "A regular polygon with exterior angles of 45 degrees has <BR>\n" );
document.write( "   360/45 =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28+8++%29+ ALIGN=MIDDLE  ALT=\"+highlight%28+8++%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides\r<BR>\n" );
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