document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=226250>Question 226250</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Set up a system of two equations with two variables to solve this problem. The three angles in a triangle always add up to 180 degrees. If one angle in a triangle is 132 degrees and the second is 5 times the third, what are 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 #168533 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=168533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set up a system of two equations with two variables to solve this problem. The three angles in a triangle always add up to 180 degrees. If one angle in a triangle is 132 degrees and the second is 5 times the third, what are the three angles?\r<BR>\n" );
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document.write( "Step 1.  Let x be the third angle.\r<BR>\n" );
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document.write( "Step 2.  Let y=5x since the second is 5 times the third.\r<BR>\n" );
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document.write( "Step 3.  Let x+y+132=180 since all three angles add up to 180 degrees.  We can rewrite this after subtracting 132 from both side of the equation as\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2B132-132=180-132 ALIGN=MIDDLE  ALT=\"x%2By%2B132-132=180-132\"   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%2By=48 ALIGN=MIDDLE  ALT=\"x%2By=48\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4.  The system of equations are\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5x ALIGN=MIDDLE  ALT=\"y=5x\"   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%2By=48 ALIGN=MIDDLE  ALT=\"x%2By=48\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5.  Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5x ALIGN=MIDDLE  ALT=\"y=5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=48 ALIGN=MIDDLE  ALT=\"x%2By=48\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5x=48 ALIGN=MIDDLE  ALT=\"x%2B5x=48\"   DISABLED_style= \"max-width:90%; height:auto;\" >}.  Then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=48 ALIGN=MIDDLE  ALT=\"6x=48\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 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=48%2F6 ALIGN=MIDDLE  ALT=\"6x%2F6=48%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=8 ALIGN=MIDDLE  ALT=\"x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5x=40 ALIGN=MIDDLE  ALT=\"y=5x=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Also 132+8+40=180...as a check.\r<BR>\n" );
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document.write( "Step 6.  ANSWER:  The angles are 132, 8, and 40 degrees.\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 on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And 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( "drjctu@gmail.com\r<BR>\n" );
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