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 #124190 by </B><A HREF=/tutors/aboutme.mpl?userid=miguelmcp><B>miguelmcp(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=miguelmcp><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=124190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello there, this is the answer for this problem, perhaps more algebraic than geometrical:\r<BR>\n" );
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document.write( "We have the largest angle designated as A, the second largest as B and the smallest as C.\r<BR>\n" );
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document.write( "Every step must be notated in order to get the equations. <BR>\n" );
document.write( "We know that the largest angle is twice the second largest which means: A=2B\r<BR>\n" );
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document.write( "Also we know that one-third of the largest angle is 10 degrees larger than the difference of the other two, so, we have: (1/3)A=B-C+10\r<BR>\n" );
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document.write( "As our last equation, we know that the sum of all interior angles in a triangle is 180, that is: A+B+C=180\r<BR>\n" );
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document.write( "We have our three equations:\r<BR>\n" );
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document.write( "     A=2B<BR>\n" );
document.write( "(1/3)A=B-C+10<BR>\n" );
document.write( " A+B+C=180\r<BR>\n" );
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document.write( "From there we solve them, results are:\r<BR>\n" );
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document.write( "A=102<BR>\n" );
document.write( "B=51<BR>\n" );
document.write( "C=27\r<BR>\n" );
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document.write( "Which, in this case, the one we need is the smallest angle, that is C, which is 27 degrees. </SPAN>\n" );
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