document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59550>Question 59550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a regular polygon with N side each interior angle is 180 dgrees minus 360dgrees divided by N. How many sides does a polygon have if each interior angle is 150 dgree. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40834 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=40834\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a regular polygon with N side each interior angle is 180 dgrees minus 360dgrees divided by N. How many sides does a polygon have if each interior angle is 150 dgree.<BR>\n" );
document.write( "YOU MEAN 180 - (360/N)<BR>\n" );
document.write( "SUM OF ALL INTERIOR ANGLES IN A N SIDED POLYGON = (2N-4)*90 DEGREES<BR>\n" );
document.write( "IF IT IS A REGULAR POLYGON THEN ALL N ANGLES ARE EQUAL AND HENCE EACH ANGLE =<BR>\n" );
document.write( "[(2N-4)*90]/N DEGREES = 180 - (360/N)<BR>\n" );
document.write( "150 = 180 - (360/N)<BR>\n" );
document.write( "360/N = 180-150 =30<BR>\n" );
document.write( "30N = 360<BR>\n" );
document.write( "N=360/30 =12 </SPAN>\n" );
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