document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191964>Question 1191964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider a regular pentagon. Find the measures of the following in degrees.<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "each interior angle of a regular pentagon<BR>\n" );
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document.write( "(b)<BR>\n" );
document.write( "each exterior angle of a regular pentagon<BR>\n" );
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document.write( "Consider extending the sides of the regular pentagon to create a regular pentagram. Find the measures of the following in degrees.<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "each acute interior angle of a regular pentagram<BR>\n" );
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document.write( "(b)<BR>\n" );
document.write( "each reflex interior angle of a regular pentagram<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 #823846 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><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=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The sum of the measures of the interior angles of ANY <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\">-gon is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (n\,-\,2)\cdot\">180° .\r<BR>\n" );
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document.write( "The measure of an interior angle of a regular <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\">-gon is the sum of the measures of the interior angles divided by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\">.\r<BR>\n" );
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document.write( "The sum of measures of the exterior angles of ANY polygon is 360°.\r<BR>\n" );
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document.write( "The measure of each external angle of a regular <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\">-gon is the sum of the measures of the external angles divided by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\">.\r<BR>\n" );
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document.write( "Each point of a regular pentagram is an isosceles triangle, the base angles of which are supplementary to the interior angles of the central pentagon which you calculated above.  180° minus the sum of the two base angles gives you the measure of the acute vertex angle.\r<BR>\n" );
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document.write( "The measure of the reflex angles of a regular pentagram is 180° plus the sum of two base angles from the isosceles triangle that forms one of the points of the pentagram.\r<BR>\n" );
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document.write( "You can do your own arithmetic.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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