document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040997>Question 1040997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A regular hexagon has an interior angle of measure (8x)^0. Find the value of x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656021 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=656021\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I believe you (or whoever created the problem) meant to write 8x^o, with the lowercase letter o as an exponent to show degrees, as in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5Eo ALIGN=MIDDLE  ALT=\"8x%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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document.write( "The exterior angles in any polygon are the changes in direction at each vertex as you go around the polygon.<BR>\n" );
document.write( "As a consequence, the sum of exterior angles in any polygon is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%5Eo ALIGN=MIDDLE  ALT=\"360%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > , because going all the way around the polygon, you turn yourself around by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%5Eo ALIGN=MIDDLE  ALT=\"360%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "In a regular polygon, all angles have the same measure.<BR>\n" );
document.write( "In a regular hexagon, all <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > exterior angles measure <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%5Eo%2F6=60%5Eo ALIGN=MIDDLE  ALT=\"360%5Eo%2F6=60%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Each interior angle is supplementary to an exterior angle,<BR>\n" );
document.write( "meaning they both add to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so each interior angle of a regular hexagon measures <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo-60%5Eo=120%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo-60%5Eo=120%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Your problem translates into the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x=120 ALIGN=MIDDLE  ALT=\"8x=120\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Solving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x=120 ALIGN=MIDDLE  ALT=\"8x=120\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=120%2F8 ALIGN=MIDDLE  ALT=\"x=120%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=15%29 ALIGN=MIDDLE  ALT=\"highlight%28x=15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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