document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=997712>Question 997712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in a regular polygon each interior angle isthrice of exterior angle .the number of side poly gon </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615680 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52790)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=615680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Let &nbsp;x&nbsp; be the measure of the interior angle in degrees.\r<BR>\n" );
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document.write( "then the exterior angle is &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3 ALIGN=MIDDLE  ALT=\"x%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;and their sum is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+ ALIGN=MIDDLE  ALT=\"x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3 ALIGN=MIDDLE  ALT=\"x%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 180°.\r<BR>\n" );
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document.write( "Hence, &nbsp;x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A180%29%2F4 ALIGN=MIDDLE  ALT=\"%283%2A180%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 135°.\r<BR>\n" );
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document.write( "The sum of interior angles is n*135°.\r<BR>\n" );
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document.write( "From the other side, it is (n-2)*180.\r<BR>\n" );
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document.write( "So, we have an equation \r<BR>\n" );
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document.write( "(n-2)*180 = n*135.\r<BR>\n" );
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document.write( "Divide both sides by 45. You will get\r<BR>\n" );
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document.write( "(n-2)*4 = n*3, or \r<BR>\n" );
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document.write( "4n - 8 = 3n,\r<BR>\n" );
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document.write( "4n - 3n = 8,\r<BR>\n" );
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document.write( "n = 8.\r<BR>\n" );
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document.write( "Our polygon is octagon. \r<BR>\n" );
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