document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=14620>Question 14620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a regular polygon has an ecterior angle of 18 degrees, how many sides would that polygon have? \r<BR>\n" );
document.write( "\n" );
document.write( "and\r<BR>\n" );
document.write( "\n" );
document.write( "If a regular polygon has an interior angle of 135 degrees, how many sides would that polygon have?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Please help me <BR>\n" );
document.write( "Reanne </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #7321 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=7321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The exterior angle of a regular polygon is the supplement of its interior angle.\r<BR>\n" );
document.write( "\n" );
document.write( "The interior angle of a regular polygon is given by:<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28%28n-2%29180%29%2Fn ALIGN=MIDDLE  ALT=\"A+=+%28%28n-2%29180%29%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > where: n is the number of sides of the regular polygon.\r<BR>\n" );
document.write( "\n" );
document.write( "1) You can write:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-%28%28n-2%29180%29%2Fn+=+18 ALIGN=MIDDLE  ALT=\"180-%28%28n-2%29180%29%2Fn+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplify and solve for n, the number of sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28180n+-+180n+%2B+360%29%2Fn+=+18 ALIGN=MIDDLE  ALT=\"%28180n+-+180n+%2B+360%29%2Fn+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by n<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180n+-+180n+%2B+360+=+18n ALIGN=MIDDLE  ALT=\"180n+-+180n+%2B+360+=+18n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360+=+18n ALIGN=MIDDLE  ALT=\"360+=+18n\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 18.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+20 ALIGN=MIDDLE  ALT=\"n+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides.\r<BR>\n" );
document.write( "\n" );
document.write( "2) Use the formula for the interior angle of a regular polygon.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28n-2%29180%29%2Fn+=+135 ALIGN=MIDDLE  ALT=\"%28%28n-2%29180%29%2Fn+=+135\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for n.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28180n+-+360%29%2Fn+=+135 ALIGN=MIDDLE  ALT=\"%28180n+-+360%29%2Fn+=+135\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by n<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180n+-+360+=+135n ALIGN=MIDDLE  ALT=\"180n+-+360+=+135n\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 360 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180n+=+135n+%2B+360 ALIGN=MIDDLE  ALT=\"180n+=+135n+%2B+360\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 135n from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45n+=+360 ALIGN=MIDDLE  ALT=\"45n+=+360\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 45<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+8 ALIGN=MIDDLE  ALT=\"n+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );