document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210529>Question 1210529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let ABCDE be an equilateral pentagon.  If the pentagon is concave, and angle A = angle B = 135, then what is the degree measure of angle E? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853454 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13295)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The described figure does not exist.<br><BR>\n" );
document.write( "If each side of the pentagon has length x and the measures of angles A and B are each 135 degrees, then the distance from  C to E is greater than 2x, making it impossible for the pentagon to be equilateral.<br><BR>\n" );
document.write( "With the given conditions, again letting x be the length of each side of the equilateral pentagon, extend sides CB and EA to meet at F.  Then the distance from C to E is the hypotenuse of isosceles right triangle EFC with side length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"x%2Bx%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; the length of that hypotenuse is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%28x%2Bx%2Fsqrt%282%29%29=x%281%2Bsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29%28x%2Bx%2Fsqrt%282%29%29=x%281%2Bsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is greater than 2x.<br><BR>\n" );
document.write( "The problem is faulty; or else the \"answer\" to the problem is that there is no such figure.<br><BR>\n" );
document.write( " </SPAN>\n" );
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