document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=326373>Question 326373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> each interior of regular polygon is 90 less than five times the measure of each exterior angle. how many sides does the polygon have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #233724 by </B><A HREF=/tutors/aboutme.mpl?userid=vksarvepalli><B>vksarvepalli(154)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vksarvepalli><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=vksarvepalli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=233724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the value of each interior angle be x\r<BR>\n" );
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document.write( "then the value of each exterior angle will be 180-x\r<BR>\n" );
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document.write( "now it is given that \r<BR>\n" );
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document.write( "                 each interior angle is 90 less than five times the measure of each exterior angle.\r<BR>\n" );
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document.write( "so   x=5(180-x)-90\r<BR>\n" );
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document.write( "  => x=900-5x-90<BR>\n" );
document.write( "  => 6x=900-90<BR>\n" );
document.write( "  => x=150-15<BR>\n" );
document.write( "  => x=135\r<BR>\n" );
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document.write( "now the value of the interior angle of a regular polygon of <BR>\n" );
document.write( "n sides is given by \r<BR>\n" );
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document.write( "                180(n-2)/n degrees\r<BR>\n" );
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document.write( "so here 180(n-2)/n = 135\r<BR>\n" );
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document.write( "     => 180n-360=135n<BR>\n" );
document.write( "     => 45n=360\r<BR>\n" );
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document.write( "so   n=8\r<BR>\n" );
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document.write( "The no. of sides of the polygon = 8\r<BR>\n" );
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document.write( "so it is an octagon </SPAN>\n" );
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