document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025760>Question 1025760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey, could you please help me in one of my questions.. I am in year 11 and im struggling on this question.\r<BR>\n" );
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document.write( "ABCDEFGH is a regular octagon.<BR>\n" );
document.write( "BCKFGJ is a hexagon.<BR>\n" );
document.write( " JK is a line of symmetry of the hexagon.<BR>\n" );
document.write( " Angle BJG = angle CKF = 140q<BR>\n" );
document.write( " Work out the size of angle KFE.<BR>\n" );
document.write( " You must show all your working\r<BR>\n" );
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document.write( "The Link to this question is http://revisionmaths.com/sites/mathsrevision.net/files/imce/Questionpaper-Paper1H-November2014.pdf<BR>\n" );
document.write( "Its Question 1 On the Exam paper^^ Thanks for the help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641066 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=641066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the interior angles of a regular octagon are 135 degrees each.\r<BR>\n" );
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document.write( "since JK is a line of symmetry, this means that CK = KF.\r<BR>\n" );
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document.write( "draw the line CF and you have an isosceles triangle.\r<BR>\n" );
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document.write( "this means that angle KCF and KVC are each 20 degrees.\r<BR>\n" );
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document.write( "this is because the sum of the angles of a triangle are 180 degrees.\r<BR>\n" );
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document.write( "140 + 2 * 20 = 180 degrees.\r<BR>\n" );
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document.write( "you have the following:\r<BR>\n" );
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document.write( "angle KFC = 20 degrees.\r<BR>\n" );
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document.write( "angle CFG = 90 degrees.\r<BR>\n" );
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document.write( "this means that angle KFG = 90 + 20 = 110 degrees.\r<BR>\n" );
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document.write( "since angle EFG = 135 degrees and angle KFG = 110 degrees, this means that angle EFK must be equal to 25 degrees.\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( "angle KFE is equal to 25 degrees.\r<BR>\n" );
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document.write( "the following diagram shows this relationship.\r<BR>\n" );
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document.write( "it's all there except i didn't draw in line JK.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/031905.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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