document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084734>Question 1084734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Line AE intersects line CD at point B, angle ABC = (x-2)(2x+2) and angle DBE = (x-1)(x+4). What is the measure of angle CBE? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837887 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( " (x-2)(2x+2) = (x-1)(x+4)    (vertically opposite angles)\r<BR>\n" );
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document.write( "2x^2+2x-4x-4 = x^2+4x-x-4\r<BR>\n" );
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document.write( "x^2 -5x=0\r<BR>\n" );
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document.write( "x(x-5)=0\r<BR>\n" );
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document.write( "x= 0 or x=5<BR>\n" );
document.write( "x not = 0\r<BR>\n" );
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document.write( "x=5\r<BR>\n" );
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document.write( "Plug value of x <BR>\n" );
document.write( "(x-1)(x+4)\r<BR>\n" );
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document.write( "angle =36\r<BR>\n" );
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document.write( "angle CBE = 180-36 =144  ( supplementary angle)\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mananth&illustration_name=VOP.png\">.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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