document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=755901>Question 755901</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q1- THE SUM OF ALL INTERIOR ANGLES OF A REGULAR POLYGON IS 1080 WHAT IS THE MEASURE OF EACH OF ITS EXTERIOR ANGLES?''. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459892 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=459892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Theorem: The sum of the interior angles in a polygon with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%28n-2%29 ALIGN=MIDDLE  ALT=\"180%28n-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if the sum of the interior angles is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1080 ALIGN=MIDDLE  ALT=\"1080\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%28n+-2%29=1080 ALIGN=MIDDLE  ALT=\"180%28n+-2%29=1080\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n+-2%29=1080%2F180 ALIGN=MIDDLE  ALT=\"%28n+-2%29=1080%2F180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+-2=6 ALIGN=MIDDLE  ALT=\"n+-2=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=6%2B2 ALIGN=MIDDLE  ALT=\"n+=6%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=8 ALIGN=MIDDLE  ALT=\"n+=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >....we have an octagon\r<BR>\n" );
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document.write( "Since each interior angle has the same measure, we divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find the measure of one interior angle: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1080%2F8=135 ALIGN=MIDDLE  ALT=\"1080%2F8=135\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract the measurement of each interior angle from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180 ALIGN=MIDDLE  ALT=\"180\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the measurement of the corresponding exterior angle.\r<BR>\n" );
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document.write( "the corresponding exterior angle is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-135=45 ALIGN=MIDDLE  ALT=\"180-135=45\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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