document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976667>Question 976667</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The interior angle of a regular polygon is thrice the exterior 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 #598207 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=598207\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the interior and exterior angles must be 180 deg.<BR>\n" );
document.write( "Let x = the measure of the exterior angle<BR>\n" );
document.write( "Then x + 3x = 180 -> 4x = 180 -> x = 45<BR>\n" );
document.write( "The exterior angles of a regular polygon add up to 360, which means each exterior angle is 360/n [n=number of sides]<BR>\n" );
document.write( "So we have 360/n = 45 -> n = 360/45 = 8<BR>\n" );
document.write( "So the polygon is an octagon (8 sides) </SPAN>\n" );
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