document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=578709>Question 578709</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a convex n-gon, the sum of all angles except one angle is 2270 . find the number of sides of n-gon . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371026 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=371026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 180(n-1) = 2270 + k\"> where k is the unknown angle.\r<BR>\n" );
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document.write( "Since k is between 0 and 180 (convex polygon), 180(n-1) must be a little more than 2270. Since 180*12 = 2160 and 180*13 = 2340, we conclude that n-1 = 13, so n = 14. </SPAN>\n" );
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