document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135203>Question 135203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the measures of the interior angles of a polygon is between 2100 and 2400. how many sides does the polygon have? thanks..<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99085 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=99085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sum of the measures of the interior angles of a polygon is between 2100 and 2400. how many sides does the polygon have? thanks..<BR>\n" );
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document.write( "The number of sides is n where (n-2)*180 = sum of interior angles.<BR>\n" );
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document.write( "INEQUALITY:<BR>\n" );
document.write( "2100 <= (n-1)*180 <= 2400<BR>\n" );
document.write( "35/3 <= n-1 <= 40/3<BR>\n" );
document.write( "Add one along the line to get:<BR>\n" );
document.write( "38/3 <= n <= 43/3<BR>\n" );
document.write( "12 2/3 <= n <= 14 1/3<BR>\n" );
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document.write( "since n is a whole number, n = 13 or 14<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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