document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012114>Question 1012114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a regular polygon, the exterior angle is one-eighth of an 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 #628006 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> {(n-2)/n}*180 is interior angle<BR>\n" );
document.write( "exterior angle is 1/8 of that or {(n-2)/n}*22.5<BR>\n" );
document.write( "The two add to 180<BR>\n" );
document.write( "[180n-360]/n +[22.5n-45]/n=180<BR>\n" );
document.write( "multiply by n<BR>\n" );
document.write( "180n-360+22.5n-45=180n<BR>\n" );
document.write( "22.5 n=405<BR>\n" );
document.write( "n=18<BR>\n" );
document.write( "18 sides </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );