document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206935>Question 206935</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 does the polygon have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156456 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=156456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The exterior angle of a regular polygon is one third of its interior angle.How many sides does the polygon have?<BR>\n" );
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document.write( "E + I = 180<BR>\n" );
document.write( "I = 3E<BR>\n" );
document.write( "E + 3E = 180<BR>\n" );
document.write( "E = 45º<BR>\n" );
document.write( "Interior angle = 135º<BR>\n" );
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document.write( "Interior angle = (n-2)*180/n<BR>\n" );
document.write( "135n = 180n - 360<BR>\n" );
document.write( "-45n = -360<BR>\n" );
document.write( "n = 8 </SPAN>\n" );
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