document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193137>Question 1193137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many sides does a polygon have if the sum of its interior angles is seven times the sum of its exterior angles? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825132 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825132\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sum of the exterior angles of a polygon is always 360 degrees.<BR>\n" );
document.write( "7 * 360 = 2520.<BR>\n" );
document.write( "the sum of the interior angles of the polygon in question is 2520.<BR>\n" );
document.write( "the sum of the interior angles of a polygon is equal to (n-2) * 180, therefore:<BR>\n" );
document.write( "2520 = (n-2) * 180<BR>\n" );
document.write( "solve for n-2 to get:<BR>\n" );
document.write( "n-2 = 2520 / 180 = 14.<BR>\n" );
document.write( "solve for n to get:<BR>\n" );
document.write( "n = 16.<BR>\n" );
document.write( "the polygon in question has 16 sides.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );