document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122221>Question 1122221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the interior angles of a polygon is twice the sum of its exterior angles. 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 #738285 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=738285\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the polygon has 6 sides.\r<BR>\n" );
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document.write( "the sum of the exterior angles of a polygon is always 360 degrees.\r<BR>\n" );
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document.write( "the sum of the interior angles of a polygon is equal to 180 * (n - 2).\r<BR>\n" );
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document.write( "n is equal to the number of sides of the polygon.\r<BR>\n" );
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document.write( "if the sum of the interior angles is twice the sum of the exterior angles, then the sum of the interior angles has to be 720 degrees.\r<BR>\n" );
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document.write( "720 = 180 * (n - 2)<BR>\n" );
document.write( "divide both sides of this equation by 180 to get 720/180 = n - 2<BR>\n" );
document.write( "simplify to get 4 = n - 2<BR>\n" );
document.write( "solve for n to get n = 6\r<BR>\n" );
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