document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36266>Question 36266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the measure of each angle of a regular polygon with 6 sides? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22212 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=22212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the measure of each angle of a regular polygon with 6 sides?\r<BR>\n" );
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document.write( "Draw the figure.<BR>\n" );
document.write( "Connect each vertex to the center forming 6 triangles.<BR>\n" );
document.write( "The sum of the angles of all six triangles is 6(180)<BR>\n" );
document.write( "But the sum of the six central angles is 2(180)=360<BR>\n" );
document.write( "So the sum of all the interior angles is (6-2)180 = 720 degrees.<BR>\n" );
document.write( "That sum is evenly divided by the 6 interior angles <BR>\n" );
document.write( "So, each interior angle has measure 720/6 = 120 degrees.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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