document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=725369>Question 725369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A polygon has m sides. If one of its interior angles is 80 degrees, and the other interior angles are each equal to 160 degrees, find the value of m. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #444121 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=444121\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If there are m sides, then the angles sum up to 180(m-2) degrees\r<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "There is 1 angle that is 80 degrees\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "There are m angles total, so this means that there are m-1 angles left (if one is already taken). These m-1 angles are all 160 degrees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "80 + 160(m-1) = 180(m-2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solve for m:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "80+160(m-1)=180(m-2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "80+160m-160=180m-360\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "160m-80=180m-360\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "160m=180m-360+80\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "160m-180m=-360+80\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-20m=-360+80\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-20m=-280\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "m=(-280)/(-20)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "m=14\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So there are 14 sides (and 14 angles).<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );