document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752370>Question 752370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the angles of a triangle is 180°. The largest angle is 28° more than the smallest angle. The largest angle is two more degrees than the middle angle. What is the measure of the middle angle? Use an augmented matrix to solve this problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457709 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=457709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the angles of a triangle is 180°. The largest angle is 28° more than the smallest angle. The largest angle is two more degrees than the middle angle. What is the measure of the middle angle?<BR>\n" );
document.write( "------<BR>\n" );
document.write( "L + M + S = 180<BR>\n" );
document.write( "L = S + 28<BR>\n" );
document.write( "L = M + 2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Substitute and solve for \"L\":<BR>\n" );
document.write( "L + (L-2) + (L-28) = 180<BR>\n" );
document.write( "3L -30 = 180<BR>\n" );
document.write( "3L = 210<BR>\n" );
document.write( "Largest = 70<BR>\n" );
document.write( "Middle = 68<BR>\n" );
document.write( "Smallest = L-28 = 42<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "========================= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );