document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035730>Question 1035730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measure of an interior angle of a regular polygon is 140°. Classify. Regular Polygon by the number of sides<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 #650382 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the interior angle of a polygon can be measured in one of two ways.\r<BR>\n" );
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document.write( "(n-2) * 180 / n is equal to the interior angle of a polygon.\r<BR>\n" );
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document.write( "180 - 360 / n is equal to the interior angle of a polygon.\r<BR>\n" );
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document.write( "we'll do it using the first formula and then do it using the second formula.\r<BR>\n" );
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document.write( "using the first formula, you get 140 = (n-2) * 180 / n<BR>\n" );
document.write( "multiply both sides of this equation by n to get 140 * n = (n-2) * 180<BR>\n" );
document.write( "simplify to get 140 * n = 180 * n - 360<BR>\n" );
document.write( "subtract 180 * n from both sides of this equaiton to get 140 * n - 180 * n = - 360.<BR>\n" );
document.write( "simplify to get -40 * n = -360.<BR>\n" );
document.write( "divide both sides of this equation by -40 to get n = -360 / -40 = 9.\r<BR>\n" );
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document.write( "using the second formula, you get 140 = 180 - 360 / n.<BR>\n" );
document.write( "subtract 180 from both sides of this equation, you get 140 - 180 = -360 / n<BR>\n" );
document.write( "simplify to get -40 = -360 / n<BR>\n" );
document.write( "multiply both sides of this equation by n to get -40 * n = -360.<BR>\n" );
document.write( "divide both sides of this equation by -40 to get n = -360 / -40 = 9.\r<BR>\n" );
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document.write( "the regular polygon is a 9 sided polygon.<BR>\n" );
document.write( "i believe it's called a nonagon.<BR>\n" );
document.write( "here's a list of all the possible names you ever wanted to know about how to classify regular polygons and probably much more.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://www.mathsisfun.com/geometry/polygons.html\" target = \"_blank\">http://www.mathsisfun.com/geometry/polygons.html</a>\r<BR>\n" );
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