document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983192>Question 983192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between the exterior angles of two regular polygon having sides equal to n and n+1 is 12. Find 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 #603986 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=603986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "An exterior angle of a n sided polygon is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2Fn+ ALIGN=MIDDLE  ALT=\"360%2Fn+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and that of  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n+%2B+1%29 ALIGN=MIDDLE  ALT=\"%28n+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > sided polygon is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2F%28n+%2B+1%29+ ALIGN=MIDDLE  ALT=\"360%2F%28n+%2B+1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( "if the difference between the exterior angles of two regular polygon is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2Fn+-+360%2F%28n+%2B+1%29+=12 ALIGN=MIDDLE  ALT=\"360%2Fn+-+360%2F%28n+%2B+1%29+=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28360%28n+%2B+1%29%29%2F%28n%28n+%2B+1%29%29++-+360n%2F%28n%28n+%2B+1%29%29=12 ALIGN=MIDDLE  ALT=\"%28360%28n+%2B+1%29%29%2F%28n%28n+%2B+1%29%29++-+360n%2F%28n%28n+%2B+1%29%29=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28360%28n+%2B+1%29++-+360n%29%2F%28n%28n+%2B+1%29%29=12 ALIGN=MIDDLE  ALT=\"%28360%28n+%2B+1%29++-+360n%29%2F%28n%28n+%2B+1%29%29=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28360n+%2B+360+-+360n%29=12n%28n+%2B+1%29 ALIGN=MIDDLE  ALT=\"%28360n+%2B+360+-+360n%29=12n%28n+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360+=12n%28n+%2B+1%29 ALIGN=MIDDLE  ALT=\"+360+=12n%28n+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360+%2F12=n%28n+%2B+1%29 ALIGN=MIDDLE  ALT=\"+360+%2F12=n%28n+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30=n%5E2+%2B+n ALIGN=MIDDLE  ALT=\"+30=n%5E2+%2B+n\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0=n%5E2+%2B+n-30 ALIGN=MIDDLE  ALT=\"+0=n%5E2+%2B+n-30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0=n%5E2+-5n%2B+6n-30 ALIGN=MIDDLE  ALT=\"+0=n%5E2+-5n%2B+6n-30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0=%28n%5E2+-5n%29%2B+%286n-30%29 ALIGN=MIDDLE  ALT=\"+0=%28n%5E2+-5n%29%2B+%286n-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0=n%28n+-5%29%2B+6%28n-5%29 ALIGN=MIDDLE  ALT=\"+0=n%28n+-5%29%2B+6%28n-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+%28n-5%29+%28n%2B6%29 ALIGN=MIDDLE  ALT=\"+0+=+%28n-5%29+%28n%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "solutions:\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+%28n-5%29+ ALIGN=MIDDLE  ALT=\"+0+=+%28n-5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=5 ALIGN=MIDDLE  ALT=\"n=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+%28n%2B6%29 ALIGN=MIDDLE  ALT=\"+0+=+%28n%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=-6 ALIGN=MIDDLE  ALT=\"n=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >...=.> since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > cannot be negative number, disregard  solution  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=-6 ALIGN=MIDDLE  ALT=\"n=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, your solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n=5%29 ALIGN=MIDDLE  ALT=\"highlight%28n=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );