document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767368>Question 767368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> AB and BC are adjacent sides of a regular polygon. Angle ABC=140 degrees. Calculate the number of sides 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 #467580 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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=467580\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the polygon be of n sides.\r<BR>\n" );
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document.write( "Total sum of angles of a polygon of n sides = (n - 2)*180 degrees.\r<BR>\n" );
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document.write( "In a regular polygon, all internal angles are equal. <BR>\n" );
document.write( "In this case, each internal angle = 140. <BR>\n" );
document.write( "Number of internal angles = number of sides of the polygon = n.\r<BR>\n" );
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document.write( "So, 140*n = (n-2)*180 = 180*n - 360<BR>\n" );
document.write( "40*n = 360<BR>\n" );
document.write( "n = 9\r<BR>\n" );
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document.write( "The polygon has 9 sides.\r<BR>\n" );
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