document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=457554>Question 457554</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the number of sides in a regular polygon that has an interior angle of 165.5?<BR>\n" );
document.write( "with an explaination please . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #313938 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=313938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The formula for the interior angle of a regular polygon is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28180%28n-2%29%29%2Fn ALIGN=MIDDLE  ALT=\"x=%28180%28n-2%29%29%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > where 'x' is the measure of the interior angle and 'n' is the number of sides of the polygon.\r<BR>\n" );
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document.write( "In this case, we know that \"a regular polygon that has an interior angle of 165.5\", so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=165.5 ALIGN=MIDDLE  ALT=\"x=165.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Plug this in to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165.5=%28180%28n-2%29%29%2Fn ALIGN=MIDDLE  ALT=\"165.5=%28180%28n-2%29%29%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now solve for 'n'\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165.5n=180%28n-2%29 ALIGN=MIDDLE  ALT=\"165.5n=180%28n-2%29\"   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=165.5n=180n-360 ALIGN=MIDDLE  ALT=\"165.5n=180n-360\"   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=165.5n-180n=-360 ALIGN=MIDDLE  ALT=\"165.5n-180n=-360\"   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=-14.5n=-360 ALIGN=MIDDLE  ALT=\"-14.5n=-360\"   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=-360%2F%28-14.5%29 ALIGN=MIDDLE  ALT=\"n=-360%2F%28-14.5%29\"   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=24.8275862068966 ALIGN=MIDDLE  ALT=\"n=24.8275862068966\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Round to the nearest whole number to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=25 ALIGN=MIDDLE  ALT=\"n=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'm thinking there's a typo and the interior angle should be 165.\r<BR>\n" );
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document.write( "If so, then...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28180%28n-2%29%29%2Fn ALIGN=MIDDLE  ALT=\"x=%28180%28n-2%29%29%2Fn\"   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=165=%28180%28n-2%29%29%2Fn ALIGN=MIDDLE  ALT=\"165=%28180%28n-2%29%29%2Fn\"   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=165n=180%28n-2%29 ALIGN=MIDDLE  ALT=\"165n=180%28n-2%29\"   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=165n=180n-360 ALIGN=MIDDLE  ALT=\"165n=180n-360\"   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=165n-180n=-360 ALIGN=MIDDLE  ALT=\"165n-180n=-360\"   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=-15n=-360 ALIGN=MIDDLE  ALT=\"-15n=-360\"   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=24 ALIGN=MIDDLE  ALT=\"n=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So if the actual interior angle is 165 degrees, then there are 24 sides. </SPAN>\n" );
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