document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=563239>Question 563239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is the problem:\r<BR>\n" );
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document.write( "Can you show that no polygon exists in which the ratio of the number of diagonals of the sum of the measures of its interior angles is 1:18?\r<BR>\n" );
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document.write( "Here is my formula:\r<BR>\n" );
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document.write( "n(n-3)/180(n-2)=1/18\r<BR>\n" );
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document.write( "I don't know if the n(n-3) part is the formula for finding the number of diagonals. What is the the correct formula and what steps should I take in solving this problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364831 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=364831\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is the problem: <BR>\n" );
document.write( "Can you show that no polygon exists in which the ratio of the number of diagonals of the sum of the measures of its interior angles is 1:18? <BR>\n" );
document.write( "Here is my formula: <BR>\n" );
document.write( "n(n-3)/180(n-2)=1/18 <BR>\n" );
document.write( "I don't know if the n(n-3) part is the formula for finding the number of diagonals. What is the the correct formula and what steps should I take in solving this problem?<BR>\n" );
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document.write( "If the number of sides is n, the number of diagonals<BR>\n" );
document.write( "= nC2 -n = (n(n-1))/2 - n = [n(n-1)-2n]/2 = [n^2-3n]/2 = [n(n-3)]/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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