document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023335>Question 1023335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There's an octagon shape.  The interior ratio is 1:2:2:3:3:4:4:5.  Find the longest interior and the longest exterior  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638874 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm thinking you mean<BR>\n" );
document.write( "\"There's an octagon shape.  The interior ratio of angles is 1:2:2:3:3:4:4:5.  Find the largest interior angle and the largest exterior angle.\"<BR>\n" );
document.write( "If so...we continue...<BR>\n" );
document.write( "If the ratio of angles is is 1:2:2:3:3:4:4:5, their sum can be expressed as<BR>\n" );
document.write( "x + 2x + 2x + 3x + 3x + 4x + 4x + 5x = 24x<BR>\n" );
document.write( "These angles sum to 1080 degrees, the total within every octagon.<BR>\n" );
document.write( "Thus <BR>\n" );
document.write( "24x = 1080<BR>\n" );
document.write( "x = 45<BR>\n" );
document.write( "That makes the largest interior angle 5x = 5(45) = 225 degrees.<BR>\n" );
document.write( "The largest exterior angle is 180 - 45 = 135 degrees<BR>\n" );
document.write( "The main problem with this analysis is that two of the angles aren't angles at all...4x = 4(45) = 180 degrees...not to mention angles greater than 180 are spurious... </SPAN>\n" );
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