document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=934151>Question 934151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In &#9651;RST, m&#8736;T is 6 more than the m&#8736;R, and the m&#8736;S is 9 more than the m&#8736;T. What is the measure of each angle?\r<BR>\n" );
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document.write( "I have no idea how to do this problem and it is the last question on my take-home test. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #567258 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=567258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you need to convert every equation in terms of one variable and you can then solve for that variable.\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "T + S + R = 180 because the sum of the interior angles in a triangle is always equal to 180.\r<BR>\n" );
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document.write( "you have T = R + 6\r<BR>\n" );
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document.write( "you have S = T + 9\r<BR>\n" );
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document.write( "if you solve for R in the equation of T = R + 6, you will get R = T - 6.\r<BR>\n" );
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document.write( "if you solve for S in the equation of S = T + 9, you will get S = T + 9 (you're already there).\r<BR>\n" );
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document.write( "you can now convert all your angles in terms of T.\r<BR>\n" );
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document.write( "T = T<BR>\n" );
document.write( "R = T - 6<BR>\n" );
document.write( "S = T + 9\r<BR>\n" );
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document.write( "the sum of the angles is 180, so t + R + S = 180 becomes T + T - 6 + T + 9 = 180 degrees.\r<BR>\n" );
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document.write( "combine like terms to get 3T + 3 = 180 degrees.\r<BR>\n" );
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document.write( "subtract 3 from both sides of this equation to get 3T = 177 degrees.\r<BR>\n" );
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document.write( "divide both sides of this equation by 3 to get T = 177 / 3 = 59 degrees.\r<BR>\n" );
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document.write( "T = 59 degrees.<BR>\n" );
document.write( "R = T - 6 = 53 degrees.<BR>\n" );
document.write( "S = T + 9 = 68 degrees.\r<BR>\n" );
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document.write( "T + R + S = 180 becomes 59 + 53 + 68 = 180 which becomes 180 = 180 (this is good)\r<BR>\n" );
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document.write( "T = R + S becomes 59 = 53 + 6 which becomes 59 = 59 (this is good)\r<BR>\n" );
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document.write( "S = 9 + T becomes 68 = 9 + 59 which becomes 68 = 68 (this is good).\r<BR>\n" );
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document.write( "everything checks out.\r<BR>\n" );
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document.write( "your solution is:\r<BR>\n" );
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document.write( "T = 59<BR>\n" );
document.write( "R = 53<BR>\n" );
document.write( "S = 68\r<BR>\n" );
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document.write( " </SPAN>\n" );
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