document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=439487>Question 439487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if the sum of the measures of the interior angles of a polygon equals the sum of the measures of its exterior angles, how many sides does it have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303761 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=303761\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In each polygon the sum of exterior angels is 360 degree.<BR>\n" );
document.write( "Let n the number of interior angels of the polygon. The sum of interior angels is:\r<BR>\n" );
document.write( "\n" );
document.write( "(n-2)180. Since the measure of interior angels is equal to the measure of \r<BR>\n" );
document.write( "\n" );
document.write( "exterior angels we write:(n-2)180=360 => n-2=360/180 => n-2=2 => n=4.\r<BR>\n" );
document.write( "\n" );
document.write( "Answer:The requested polygon is the square. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );