document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1052238>Question 1052238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the value of x in the angles of a polygon? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #667688 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=667688\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you have internal angles of a regular polygon and you have external angles of a regular polygon and you have central angles of a regular polygon.\r<BR>\n" );
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document.write( "the central angle of a polygon is equal to 360 / n, where n is the number of sides of the regular polygon.\r<BR>\n" );
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document.write( "the external angle of a polygon is equal to 360 / n, where n is the number of sides of the regular polygon.\r<BR>\n" );
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document.write( "the internal angle of a polygon is equal to the supplemental of the external angle of the polygon.\r<BR>\n" );
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document.write( "that makes the internal angle of a polygon equal to 180 minus the external angle of the regular polygon.\r<BR>\n" );
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document.write( "another formula for the internal angle of a regular polygon is:\r<BR>\n" );
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document.write( "x = 180 * (n-2) / n.\r<BR>\n" );
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document.write( "n is equal to the number of sides of the regular polygon.\r<BR>\n" );
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document.write( "here's some references:\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.regentsprep.org/regents/math/geometry/gg3/lpoly3.htm\" target = \"_blank\">http://www.regentsprep.org/regents/math/geometry/gg3/lpoly3.htm</a>\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.regentsprep.org/regents/math/geometry/gg3/LPoly2.htm\" target = \"_blank\">http://www.regentsprep.org/regents/math/geometry/gg3/LPoly2.htm</a>\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.mathopenref.com/polygoncentralangle.html\" target = \"_blank\">http://www.mathopenref.com/polygoncentralangle.html</a>\r<BR>\n" );
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document.write( "an example would be for the angles of an octagon (8 sided regular polygon).\r<BR>\n" );
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document.write( "each external angles is equal to 360/8 = 45 degrees.\r<BR>\n" );
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document.write( "each central angle is equal to 360/8 = 45 degrees - same as the external angle.\r<BR>\n" );
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document.write( "each interior angle is equal to 180 - 360/8 = 180 - 45 = 135 degrees.\r<BR>\n" );
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document.write( "each interior angle is also equal to 180 * (8 - 2) / 8 = 180 * 6 / 8 = 135 degrees.\r<BR>\n" );
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document.write( "the sum of the interior angles of the octagon is equal ti 8 * 135 = 1080 degrees.\r<BR>\n" );
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