document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168503>Question 168503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The largest angle in a triangle is twice the degree measure of the second largest angle. One-third of the largest angle is 10 degrees larger than the difference of the other two.. Whaat is the measure in degreesof the smallest angle?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124189 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=124189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a = largest angle<BR>\n" );
document.write( "b = second largest angle<BR>\n" );
document.write( "c = smallest angle<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "a = 2*b<BR>\n" );
document.write( "(1/3)*a = b - c + 10<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "c formula becomes:<BR>\n" );
document.write( "c = b - (1/3)*a + 10<BR>\n" );
document.write( "which becomes:<BR>\n" );
document.write( "c = b - (2/3)*b + 10<BR>\n" );
document.write( "which becomes<BR>\n" );
document.write( "c = (1/3)*b + 10<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "a + b + c = 180 (sum of angles of a triangle = 180)<BR>\n" );
document.write( "2*b + b + (1/3)*b + 10 = 180<BR>\n" );
document.write( "2*b + b + (1/3)*b = 170<BR>\n" );
document.write( "3*b + (1/3)*b = 170<BR>\n" );
document.write( "multiply both sides by 3:<BR>\n" );
document.write( "9*b + b = 510<BR>\n" );
document.write( "10*b = 510<BR>\n" );
document.write( "b = 51<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "2*b = 102 = a<BR>\n" );
document.write( "c = b - (1/3)*a + 10<BR>\n" );
document.write( "c = 51 - (1/3)*102 + 10<BR>\n" );
document.write( "c = 27 <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "a = 102<BR>\n" );
document.write( "b = 51<BR>\n" );
document.write( "c = 27<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "a + b + c = 180<BR>\n" );
document.write( "102 + 51 + 27 = 180<BR>\n" );
document.write( "180 = 180<BR>\n" );
document.write( "ok<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "a = 2 * b<BR>\n" );
document.write( "102 = 2 * 51<BR>\n" );
document.write( "102 = 102<BR>\n" );
document.write( "ok<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "(1/3)*a = (b-c) + 10<BR>\n" );
document.write( "1/3)*102 = (51 - 27) + 10<BR>\n" );
document.write( "34 = 30<BR>\n" );
document.write( "ok<BR>\n" );
document.write( "----- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );