document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011166>Question 1011166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A regular polygon's interior angle is 8 times as large as its exterior angle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #626752 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=626752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> E = exterior angle<BR>\n" );
document.write( "I = interior angle\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I = 8*E since the \"interior angle is 8 times as large as its exterior angle\"\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Each pair of interior and exterior angles add up to 180 degrees<BR>\n" );
document.write( "E + I = 180 degrees<BR>\n" );
document.write( "E + 8*E = 180 ... replace I with 8E; solve for E<BR>\n" );
document.write( "9E = 180<BR>\n" );
document.write( "E = 180/9<BR>\n" );
document.write( "E = 20\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Each exterior angle is 20 degrees\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now let n = number of sides. We can tie n and E together with this formula\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "E = 360/n\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solve for n to get n = 360/E. Now plug in E = 20\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "n = 360/E<BR>\n" );
document.write( "n = 360/20<BR>\n" );
document.write( "n = 18\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So there are 18 sides of this polygon. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );