document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=890082>Question 890082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If angle ABD= x+25<BR>\n" );
document.write( "angle CBD= 3x-10<BR>\n" );
document.write( "angle ABC= 75,\r<BR>\n" );
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document.write( "What is angle ABC? What is angle CBD?\r<BR>\n" );
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document.write( "I'm homeschooled and I do self study. I have 2nd hand books from regular schools. So I dont have a manual. And i dont know what the answer is and i cant check. Please do help me thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #538671 by </B><A HREF=/tutors/aboutme.mpl?userid=Okamiden><B>Okamiden(22)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Okamiden><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=538671\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This MIGHT be a theorem or rule that is simply given to you somewhere in your book, but you can see it for yourself and understand it better! I've attached a picture of what I mean below.<BR>\n" );
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document.write( "Simply, I drew out your 4 points on a graph, at random, to help you notice something:<BR>\n" );
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document.write( "http://i.imgur.com/HkbTsh5.png<BR>\n" );
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document.write( "As you can see, we have this set up. Notice that the angle ABC is simply the angle ABD + angle CBD. It makes sense, because the segment BD is in both these angles, and your book's theorem is probably something like \"ABD + DBC = ABC, assuming ABC is the biggest angle\".<BR>\n" );
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document.write( "If ABC wasn't the biggest angle, the equation wouldn't work, you'd get a weird result in this case. I don't think the book wants you to explore this possibility.<BR>\n" );
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document.write( "Now that we know ABD + CBD = ABC, it's simple.<BR>\n" );
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document.write( "x+25 + 3x-10 = 75<BR>\n" );
document.write( "4x+15=75<BR>\n" );
document.write( "x=15<BR>\n" );
document.write( "ABD=x+25=40<BR>\n" );
document.write( "CBD=3x-10=35\r<BR>\n" );
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