document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=952642>Question 952642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the measures of the angles of a triangle is 180 degrees.  The smallest angle of the triangle has a measure of 2/3 the measure of the second smallest angle.  The largest angle has a measure that is 30 degrees less than three times the measure of the second smallest angle.  Determine 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 #581777 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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/cgi-bin/show-face.mpl?user=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=581777\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> M=Middle angle; S=smallest angle=(2/3)M; L=largest angle=3M-30 degrees<BR>\n" );
document.write( "S+M+L=180 degrees Substitute for S and L.<BR>\n" );
document.write( "2/3(M)+M+3M-30 degrees=180 degrees Add 30 degrees to each side.<BR>\n" );
document.write( "(14/3)M=210 degrees Multiply each side by 3/14<BR>\n" );
document.write( "M=630/14=45 degrees ANSWER 1: The middle angle is 45 degrees.<BR>\n" );
document.write( "S=2/3(M)=2/3(45 degrees)=30 degrees ANSWER 2: The small angle is 30 degrees.<BR>\n" );
document.write( "L=3M-30=3(45 degrees)-30 degrees=105 degrees ANSWER 3: The large angle is 105 degrees.<BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "S+M+L=180 degrees<BR>\n" );
document.write( "30 degrees+45 degrees+105 degrees=180 degrees<BR>\n" );
document.write( "180 degrees=180 degrees </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );