document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=943927>Question 943927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in an octagon four of the angles are equal and each of others is 20 degree greater than each of first four.find the angles </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575529 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=575529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of  the interior angles of a polygon are (n-2)(180) where n is the number of sides. For an octagon, (8-2)(180)=6(180)=1080 degrees<BR>\n" );
document.write( "let A =the smaller angles, A+20 the larger angles, the sum of four larger and four smaller=1080:<BR>\n" );
document.write( "(4A)+(4(A+20))=1080 degrees<BR>\n" );
document.write( "4A+4A+80=1080 degrees Subtract 80 from each side<BR>\n" );
document.write( "8A=1000 degrees divide each side by 8<BR>\n" );
document.write( "A=125 degrees ANSWER The smaller angles=125 degrees<BR>\n" );
document.write( "A+20=125+20=145 ANSWER the larger angles =145 degrees<BR>\n" );
document.write( "CHECK<BR>\n" );
document.write( "Sum of interior angles of octagon=1080<BR>\n" );
document.write( "4(125)+4(145)=1080 degrees<BR>\n" );
document.write( "500 degrees+580 degrees=1080 degrees<BR>\n" );
document.write( "1080 degrees=1080 degrees<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );