document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215983>Question 215983</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The second angle of a triangle is fifty less than four times the first angle. The third angle is forty less than the first. Find the measures 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 #163134 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The second angle of a triangle is fifty less than four times the first angle. The third angle is forty less than the first. Find the measures of the three angles.\r<BR>\n" );
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document.write( "Step 1.  Let x be the first angle and 4x means 4 times the first angle.\r<BR>\n" );
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document.write( "Step 2.  Let 4x-50 be the second angle\r<BR>\n" );
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document.write( "Step 3.  Let x-40 be the third angle.\r<BR>\n" );
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document.write( "Step 4.  Sum of the angles in a triangle is 180 degrees.\r<BR>\n" );
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document.write( "Step 5.  Adding up the three angles is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4x-50%2Bx-40=180 ALIGN=MIDDLE  ALT=\"x%2B4x-50%2Bx-40=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Solving yields the following steps.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4x-50%2Bx-40=180 ALIGN=MIDDLE  ALT=\"x%2B4x-50%2Bx-40=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-90=180 ALIGN=MIDDLE  ALT=\"6x-90=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 90 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-90%2B90=180%2B90 ALIGN=MIDDLE  ALT=\"6x-90%2B90=180%2B90\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=270 ALIGN=MIDDLE  ALT=\"6x=270\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide 6 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2F6=90%2F6 ALIGN=MIDDLE  ALT=\"6x%2F6=90%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=45 ALIGN=MIDDLE  ALT=\"x=45\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-50=180-50=130 ALIGN=MIDDLE  ALT=\"4x-50=180-50=130\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45-40=5 ALIGN=MIDDLE  ALT=\"45-40=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Step 6.  ANSWER.  The angles of the triangle are 45, 130, and 5.   \r<BR>\n" );
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document.write( "Note=45+130+5=180 which is a true statement.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( " </SPAN>\n" );
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