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" );
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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" );
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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 #51172 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=51172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=one of the angles<BR>\n" );
document.write( "(x+23)=the other angle<BR>\n" );
document.write( "(x+(x+23)-6)=the third angle\r<BR>\n" );
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document.write( "Now since this is a triangle, all three angles must add up to 180 degrees.  So our equation to solve is:\r<BR>\n" );
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document.write( "x+(x+23)+(x+(x+23)-6)=180  get rid of parens\r<BR>\n" );
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document.write( "x+x+23+x+x+23-6=180  collect like terms<BR>\n" );
document.write( "4x+40=180  subtract 40 from both sides<BR>\n" );
document.write( "4x+40-40=180-40  collect like terms again<BR>\n" );
document.write( "4x=140  divide both sides by 4<BR>\n" );
document.write( "x=35 degrees-------------------one of the angles<BR>\n" );
document.write( "(x+23)=35+23=58 degrees-------------the other angle<BR>\n" );
document.write( "(x+(x+23)-6)=35+35+23-6=87 degrees------the third angle\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "87+58+35=180<BR>\n" );
document.write( "180=180<BR>\n" );
document.write( "also<BR>\n" );
document.write( "35+23=58<BR>\n" );
document.write( "58=58<BR>\n" );
document.write( "and<BR>\n" );
document.write( "35+58-6=87<BR>\n" );
document.write( "87=87\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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