document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263162>Question 263162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> triangle ABC, angle B is 5 times angle A and angle C is 14 degrees less than 4 times angle A. Find the size of the angles </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193918 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=193918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We know the sum of the interior angles for all triangles is 180 = A + B + C.<BR>\n" );
document.write( "We also are told:<BR>\n" );
document.write( "B = 5A<BR>\n" );
document.write( "C = 4A-14<BR>\n" );
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document.write( "A + 5A + 4A-14 = 180<BR>\n" );
document.write( "10A = 194<BR>\n" );
document.write( "A = 19.4<BR>\n" );
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document.write( "B = 5A = 5(19.4) = 97<BR>\n" );
document.write( "C= 4(19.4) - 14 = 63.6<BR>\n" );
document.write( ".<BR>\n" );
document.write( "We can check by computing the sum to see if it is 180.<BR>\n" );
document.write( "19.4 + 97 + 63.6 = ?<BR>\n" );
document.write( "19.4 + 97 + 63.6 = 180.<BR>\n" );
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document.write( "So the three angles are:<BR>\n" );
document.write( "A = 19.4<BR>\n" );
document.write( "B = 97<BR>\n" );
document.write( "C = 63.6<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Done </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );