document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=71419>Question 71419</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Someone please help!\r<BR>\n" );
document.write( "\n" );
document.write( "One angle of a triangle exceeds another by 23 degrees.  The third is 6 degrees less than the sum of the others.  Find the measure of the angles.\r<BR>\n" );
document.write( "\n" );
document.write( "I would really appreciate it if someone could help with this problem!<BR>\n" );
document.write( "thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51173 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=51173\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = one angle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an expression for each statement:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"One angle of a triangle exceeds another by 23 degrees.\" <BR>\n" );
document.write( "(x + 23)<BR>\n" );
document.write( "\"The third is 6 degrees less than the sum of the others.\" <BR>\n" );
document.write( "x + (x+23) - 6<BR>\n" );
document.write( "Simplify:<BR>\n" );
document.write( "2x + 17<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the measure of the angles. <BR>\n" );
document.write( "We know the total of all 3 angles is 180, a simple equation:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x + (x+23) + (2x+17) = 180<BR>\n" );
document.write( "x + x + 23 + 2x + 17 = 180<BR>\n" );
document.write( "4x + 40 = 180<BR>\n" );
document.write( "4x = 180 - 40; subtracted 40 from both sides<BR>\n" );
document.write( "4x = 140<BR>\n" );
document.write( "x = 140/4<BR>\n" );
document.write( "x = 35 degrees is the 1st angle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2nd angle: (x+23)<BR>\n" );
document.write( "35 + 23 = 58 degrees is the 2nd angle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3rd angle: 2x + 17<BR>\n" );
document.write( "2(35) + 17 = 87 degrees is the 3rd angle<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check: 35 + 58 + 87 = 180<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Not that hard, right? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );