document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=108135>Question 108135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a triangle ABC,angle B is 3 times angle A and angle C is 19 degrees less than 6 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 #78786 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=78786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From the problem you can see that all three angles are expressed in terms of angle A.<BR>\n" );
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document.write( "First there is angle A.<BR>\n" );
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document.write( "Then there is angle B which you are told is three times angle A ... or 3A<BR>\n" );
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document.write( "Finally, there is angle C which is six times angle A ... take away 19 degrees ... which is 6A - 19<BR>\n" );
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document.write( "But the sum of all three angles has to equal 180 degrees for this triangle. So you can add<BR>\n" );
document.write( "the three angles and set the sum equal to 180:<BR>\n" );
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document.write( "A + 3A + 6A - 19 = 180<BR>\n" );
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document.write( "Get rid of the -19 on the left side of the equation by adding 19 to both sides to get:<BR>\n" );
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document.write( "A + 3A + 6A = 199<BR>\n" );
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document.write( "Now add up all the terms on the left side and the equation reduces to:<BR>\n" );
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document.write( "10A = 199<BR>\n" );
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document.write( "Solve for angle A by dividing both sides by 10. When you do that division, you get that<BR>\n" );
document.write( "angle A = 19.9 degrees. <BR>\n" );
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document.write( "Since you know that angle B must be 3 times angle A you can multiply angle A by 3 (19.9 * 3) <BR>\n" );
document.write( "to find that angle B = 59.7 degrees.  Finally, you can find angle C by multiplying<BR>\n" );
document.write( "angle A by 6 and subtracting 19 degrees. Six times angle A is 6 * 19.9 and this equals 119.4 degrees <BR>\n" );
document.write( "and then subtracting 19 degrees results in 100.4 degrees.<BR>\n" );
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document.write( "In summary, the measures of the three angles of this triangle are angle A = 19.9 degrees, <BR>\n" );
document.write( "angle B = 59.7 degrees, and angle C = 100.4 degrees.<BR>\n" );
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document.write( "If you add them the result is 180 degrees, just as it should be. <BR>\n" );
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document.write( "Hope this helps you to understand the problem and how to solve it.<BR>\n" );
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