document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190904>Question 190904</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The interior angle of a regular polygon is 160o how many sides has 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 #143405 by </B><A HREF=/tutors/aboutme.mpl?userid=orca><B>orca(409)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=orca><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=143405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose the polygon has n sides\r<BR>\n" );
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document.write( "The sum of the measures of the interior angles of a n-gon is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%28n-2%29 ALIGN=MIDDLE  ALT=\"180%28n-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "As all angles of a regular polygon are equal in measure, the measure of each angle is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%28n-2%29%2Fn ALIGN=MIDDLE  ALT=\"180%28n-2%29%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Setting it equal to 160, we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%28n-2%29%2Fn=160 ALIGN=MIDDLE  ALT=\"180%28n-2%29%2Fn=160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving for n, we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%28n-2%29=160n ALIGN=MIDDLE  ALT=\"180%28n-2%29=160n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180n+-+360+=+160n ALIGN=MIDDLE  ALT=\"180n+-+360+=+160n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20n+=+360 ALIGN=MIDDLE  ALT=\"20n+=+360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 18<BR>\n" );
document.write( "So it is a 18-gon\r<BR>\n" );
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