document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153393>Question 153393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many sides does a regular polygon have if its interior angle measures 120 degrees? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112908 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=112908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The measure of an interior angle of a regular polygon of n sides is given by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bi%5D+=+%28n-2%29180%2Fn ALIGN=MIDDLE  ALT=\"A%5Bi%5D+=+%28n-2%29180%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > In this problem, the interior angle is 120 degrees, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n-2%29180%2Fn+=+120 ALIGN=MIDDLE  ALT=\"%28n-2%29180%2Fn+=+120\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for n. Multiply both sides by n.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n-2%29180+=+120n ALIGN=MIDDLE  ALT=\"%28n-2%29180+=+120n\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180n-360+=+120n ALIGN=MIDDLE  ALT=\"180n-360+=+120n\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 120n from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60n+-+360+=+0 ALIGN=MIDDLE  ALT=\"60n+-+360+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Now add 360 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60n+=+360 ALIGN=MIDDLE  ALT=\"60n+=+360\"   DISABLED_style= \"max-width:90%; height:auto;\" > Finally, divide both sides by 60.<BR>\n" );
document.write( "<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;\" ><BR>\n" );
document.write( "The regular polygon has 6 sides, and this is called a hexagon. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );