document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076747>Question 1076747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An irregular eight sided polygon has three of its interior angles equal to 2x each,four angles equal to x each and one angle equal to 100 degrees.Calculate the value of x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #691364 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=691364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For an N-sided polygon, the interior angles sum to (N-2)*180 degrees (think about how many triangles you can draw inside the N-sided polygon).   \r<BR>\n" );
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document.write( "You have N=8 so the interior angles sum to  (6*180) = 1080 degrees.\r<BR>\n" );
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document.write( "\"three of its interior angles equal to 2x each,four angles equal to x each and one angle equal to 100 degrees\"<BR>\n" );
document.write( "means:<BR>\n" );
document.write( "   3(2x) + 4(x) + 100 = 1080\r<BR>\n" );
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document.write( "Can you solve for x? </SPAN>\n" );
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