document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=634652>Question 634652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measure of each exterior angle of a regular polygon is 2/13 of the measure of each interior angles. Find the number of sides and diagonals of 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 #399809 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=399809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The measure of each exterior angle of a regular polygon is 2/13 of the measure of each interior angles. Find the number of sides and diagonals of the polygon.<BR>\n" );
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document.write( "I = Interior angle<BR>\n" );
document.write( "E = exterior angle = 2I/13<BR>\n" );
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document.write( "E + I = 180<BR>\n" );
document.write( "I + 2I/13 = 180<BR>\n" );
document.write( "15I/13 = 180<BR>\n" );
document.write( "I/13 = 12<BR>\n" );
document.write( "I = 156 degs<BR>\n" );
document.write( "E = 180 - I = 24 degs<BR>\n" );
document.write( "number of sides = 360/24 = 15\r<BR>\n" );
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