document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=556675>Question 556675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Triangle ABC has an exterior angle, &#8736;DAB, and two remote inner angles, &#8736;B and &#8736;C. If m&#8736;DAB = 11x + 13, m&#8736;B = 7x - 7 and m&#8736;C = 9x, solve for x and find m&#8736;A, m&#8736;B, m&#8736;C, and m&#8736;DAB. \r<BR>\n" );
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document.write( "I have this question in my workbook, and no matter how much I try, I can't visualize this setup, let alone solve the problem. Can anyone help, please? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362387 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=362387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Triangle ABC has an exterior angle, DAB, and two remote inner angles, B and C. <BR>\n" );
document.write( "If DAB = 11x + 13, B = 7x - 7 and C = 9x, solve for x and find A, B, C, and DAB. <BR>\n" );
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document.write( "Visualize this, Draw a triangle ABC, with AC as the base, extend the horizontal line from A to a point D to form an exterior angle DAB, This a is a horizontal line therefore:<BR>\n" );
document.write( "Interior angle A = 180 - (11x + 13)<BR>\n" );
document.write( "Remove the brackets<BR>\n" );
document.write( "A = 180 - 11x - 13<BR>\n" );
document.write( "A = -11x + 167<BR>\n" );
document.write( "Now we know all three interior angles, therefore<BR>\n" );
document.write( "(-11+167) + (7x-7) + 9x = 180<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "-11x = 7x + 9x + 167 - 7 = 180<BR>\n" );
document.write( "5x + 160 = 180<BR>\n" );
document.write( "5x = 180 - 160<BR>\n" );
document.write( "5x = 20<BR>\n" );
document.write( "x  = 20/5<BR>\n" );
document.write( "x = 4<BR>\n" );
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document.write( "Now you can find all the angles:<BR>\n" );
document.write( "A: -11(4) + 167 = 123 degree<BR>\n" );
document.write( "B: 7(4) - 7 = 21 degrees<BR>\n" );
document.write( "C: 9(4) = 36 degrees<BR>\n" );
document.write( "Note that these add up to 180 degrees<BR>\n" );
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document.write( "The also want to know angle DAB, which would be: 180 - A<BR>\n" );
document.write( "180 - 123 = 57 degrees<BR>\n" );
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document.write( "Did this make sense to you now? C </SPAN>\n" );
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