document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230559>Question 230559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the measures of the angles of any triangle is 180 degrees . In a certain triangle, the largest angle measures 55degrees  less than twice the medium angle, and the smallest angle measures 25 degrees less than the medium angle. Find the measures of each of the three angles. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170747 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=170747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X+Y+Z=180<BR>\n" );
document.write( "Z=2Y-55<BR>\n" );
document.write( "X=Y-25<BR>\n" );
document.write( "REPLACE X IN THE FIRST EQUATION BY (Y-25) & REPLACE Z BY(2Y-55) & SOLVE FOR Y<BR>\n" );
document.write( "Y-25+Y+2Y-55=180<BR>\n" );
document.write( "4Y=180+55+25<BR>\n" );
document.write( "4Y=260<BR>\n" );
document.write( "Y=260/4<BR>\n" );
document.write( "Y=65 DEGREES FOR THE MEDIUM ANGLE.<BR>\n" );
document.write( "X=65-25=40 DEGREES FOR THE SMALLEST ANGLE.<BR>\n" );
document.write( "Z=2*65-55<BR>\n" );
document.write( "Z=130-55<BR>\n" );
document.write( "Z=75 DEGREES FOR THE LARGEST ANGLE.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "40+65+75=180<BR>\n" );
document.write( "180=180 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );