document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210531>Question 1210531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the regular octagon below, find x.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853452 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13292)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The longer of the two diagonals in the figure is perpendicular to the side of the octagon, so the angle it forms with the side of the octagon in 90 degrees.<br><BR>\n" );
document.write( "The angle measure of each interior angle of a regular octagon is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-%28360%2F8%29=135 ALIGN=MIDDLE  ALT=\"180-%28360%2F8%29=135\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees.<br><BR>\n" );
document.write( "The shorter of the two diagonals in the figure forms an isosceles triangle with two sides of the octagon.  The measure of each acute angle in that isosceles triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28180-135%29%2F2+=+22.5 ALIGN=MIDDLE  ALT=\"%28180-135%29%2F2+=+22.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees.<br><BR>\n" );
document.write( "So the measure of the angle x in the figure is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90-22.5+=+67.5 ALIGN=MIDDLE  ALT=\"90-22.5+=+67.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees.<br><BR>\n" );
document.write( "ANSWER: 67.5 degrees<br><BR>\n" );
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