document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212080>Question 212080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A regular polygon has n sides. The ratio of its interior angle to its exterior angle is 7:2. Calculate the size of each interior angle and the value of n. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160166 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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=160166\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let 7a=interior angle<BR>\n" );
document.write( "2a=exterior angle<BR>\n" );
document.write( "---<BR>\n" );
document.write( "7a+2a=180<BR>\n" );
document.write( "9a=180<BR>\n" );
document.write( "a=20<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "2a=40<BR>\n" );
document.write( "7a=140<BR>\n" );
document.write( "---<BR>\n" );
document.write( "For a regular polygon of n sides, each exterior angle has a measure of 360/n degrees.<BR>\n" );
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document.write( "The measure of each interior angle is 140 degrees<BR>\n" );
document.write( "Since the exterior angle of each angle has measure 40 degrees, then the number of sides n=360/40=9 sides. </SPAN>\n" );
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