document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159254>Question 159254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The angles of a triangle are three consecutive even integers.  What is the largest angle in the triangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117407 by </B><A HREF=/tutors/aboutme.mpl?userid=t_as87><B>t_as87(5)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=t_as87><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=117407\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your first clue to a 1st equation is that you have a triangle, we know the sum of the angles of a triangle is 180. We also know that the angles are consecutive... ie. They come one after the other.<BR>\n" );
document.write( "So if A, B, C represent the 3 integers being the angles of the triangle, we know that B = A + 1, and C = A + 2<BR>\n" );
document.write( "(Think of 1,2,3... 2 = 1+1, and 3 = 1 + 2)<BR>\n" );
document.write( "We also know that A + B + C = 180<BR>\n" );
document.write( "So we can set up the following equation<BR>\n" );
document.write( "A + (A + 1) + (A + 2) = 180<BR>\n" );
document.write( "Now solve for A <BR>\n" );
document.write( "3A + 3 = 180<BR>\n" );
document.write( "3A = 177<BR>\n" );
document.write( "so A = 59<BR>\n" );
document.write( "This means the 3 consecutive integers are 59, 60, and 61<BR>\n" );
document.write( "(You can check by adding them 59 + 60 + 61 = 180)<BR>\n" );
document.write( "So the largest angle is 61! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );