document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132270>Question 132270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the number of sides of a polygon if the differences between any two consecutive interior angles of the polygon is 5(degree) and the smallest angle is 120(degree). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96676 by </B><A HREF=/tutors/aboutme.mpl?userid=nycsharkman><B>nycsharkman(136)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nycsharkman><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=96676\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 180(n-2) = n/2( 120 + 120 + 5(n-1))<BR>\n" );
document.write( "If you simplify, you get<BR>\n" );
document.write( "5n^2 -125n +720 =0<BR>\n" );
document.write( "n^2 -25n +144 =0<BR>\n" );
document.write( "(n -16)(n-9) =0<BR>\n" );
document.write( "n =16 or n =9<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );