document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107073>Question 107073</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618044302/algebrahomeworkh>Algebra Structure and Method - Book 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> In any triangle, the sum of the measures of the angles is 180 degrees.  In Triangle ABC, angle A is three times as large as angle B and also 16 degrees larger than angle C.  Find the measure of each angle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77889 by </B><A HREF=/tutors/aboutme.mpl?userid=Annabelle1><B>Annabelle1(69)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Annabelle1><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=77889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let angle b=x\r<BR>\n" );
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document.write( "so angle a =3x (3 times larger than b)\r<BR>\n" );
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document.write( "because of the angle sum of a triangle, c = 180-x-3x<BR>\n" );
document.write( "                                          =180-4x\r<BR>\n" );
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document.write( "  angle a is 16 degrees larger than c so angle c+16 =angle a\r<BR>\n" );
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document.write( "3x(angle a)=180-4x(angle c) + 16<BR>\n" );
document.write( "3x=196-4x<BR>\n" );
document.write( "7x=196<BR>\n" );
document.write( "x=28\r<BR>\n" );
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document.write( "x was equal to b so b=28 degrees<BR>\n" );
document.write( "a=3 times 28 = 84<BR>\n" );
document.write( "c is a-16= 84-16=68 </SPAN>\n" );
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