document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140725>Question 140725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. How many exterior angles are there in a n-gon? Are they all considered when using the Polygon Exterior Angles Theorem?\r<BR>\n" );
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document.write( "2. Find the sum of the measures of the interior angles of the convex polygon.\r<BR>\n" );
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document.write( "10-Gon<BR>\n" );
document.write( "15-Gon<BR>\n" );
document.write( "20-Gon<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 #102458 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=102458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. How many exterior angles are there in a n-gon?<BR>\n" );
document.write( "Ans: n<BR>\n" );
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document.write( "Are they all considered when using the Polygon Exterior Angles Theorem?<BR>\n" );
document.write( "Ans: yes<BR>\n" );
document.write( "Sum of exterior angles is always 360 degrees<BR>\n" );
document.write( "Each exterior angle is 360/n<BR>\n" );
document.write( "each interior angle is the suppliment of an exterior angle<BR>\n" );
document.write( "each interior angle is 180-(360/n) = (180n-360)/n<BR>\n" );
document.write( "The sum of the n interior angles is 180n-360 = 180(n-2)<BR>\n" );
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document.write( "2. Find the sum of the measures of the interior angles of the convex polygon. <BR>\n" );
document.write( "10-Gon: 180*8<BR>\n" );
document.write( "15-Gon: 180*13<BR>\n" );
document.write( "20-Gon: 180*18<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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