document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1067882>Question 1067882</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diagonals of rhombus ABCD intersect at E. Given that m&#8736;BAC=53°, DE=8, and EC=6, find m&#8736;DAC. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #683065 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52790)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=683065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "In any rhombus, diagonals bisect its angles.\r\n" );
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document.write( "   See the lesson \r\n" );
document.write( "      <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Parallelograms/Diagonals-of-a-rhombus-bisect-its-angles.lesson>Diagonals of a rhombus bisect its angles</A>\r\n" );
document.write( "   in this site.\r\n" );
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document.write( "Therefore,  m&#8736;DAC =  m&#8736;BAC = 53°.\r\n" );
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document.write( "The rest of the condition (\"DE=8, and EC=6\") is irrelevant, unnecessary and excessive. It is not used in the solution.\r\n" );
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document.write( "Nevertheless, I checked if that unnecessary part is consistent with the core part of the condition (m&#8736;BAC = 53°).\r\n" );
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document.write( "From DE=8, and EC=6 I got m&#8736;BAC = 53.16 degrees.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Make the conclusion on your own.\r<BR>\n" );
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document.write( "Formally speaking, the condition is defective.\r<BR>\n" );
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document.write( "But the defect, although it does present, is not so big  and, probably, is not fatal.\r<BR>\n" );
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document.write( "So, you do your conclusion.\r<BR>\n" );
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document.write( "Had I be at your place, I'd simply omitted this excessive part to avoid unnecessary complications.\r<BR>\n" );
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document.write( "---------------------<BR>\n" );
document.write( "Also, &nbsp;you have this free of charge online textbook on Geometry\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;<A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson>GEOMETRY - YOUR ONLINE TEXTBOOK</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "The referred lesson is the part if this textbook under the topic \"<U>Properties of rhombis</U>\".\r<BR>\n" );
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document.write( " </SPAN>\n" );
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