document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=228463>Question 228463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The second angle of a triangle is four times the first and the third is 5 degree more than twice the first. find the measures of the angle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169573 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=169573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The second angle of a triangle is four times the first and the third is 5 degree more than twice the first. Find the measures of the angle.\r<BR>\n" );
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document.write( "Step 1.  The sum of the three angles for a triangle is 180 degrees.\r<BR>\n" );
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document.write( "Step 2.  Let x be the first angle.\r<BR>\n" );
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document.write( "Step 3.  Let 4x be the second angle since it's four times the first.\r<BR>\n" );
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document.write( "Step 4.  Let 2x+5 be the third angle since it is 5 degrees more than twice the first.\r<BR>\n" );
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document.write( "Step 5.  Then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4x%2B2x%2B5=180 ALIGN=MIDDLE  ALT=\"x%2B4x%2B2x%2B5=180\"   DISABLED_style= \"max-width:90%; height:auto;\" > since the sum of the angles is 180 degrees.\r<BR>\n" );
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document.write( "Step 6.  Solving the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4x%2B2x%2B5=180 ALIGN=MIDDLE  ALT=\"x%2B4x%2B2x%2B5=180\"   DISABLED_style= \"max-width:90%; height:auto;\" > 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=7x%2B5=180 ALIGN=MIDDLE  ALT=\"7x%2B5=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 5 from 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=7x%2B5-5=180-5 ALIGN=MIDDLE  ALT=\"7x%2B5-5=180-5\"   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=7x=175 ALIGN=MIDDLE  ALT=\"7x=175\"   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=25 ALIGN=MIDDLE  ALT=\"x=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=100 ALIGN=MIDDLE  ALT=\"4x=100\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5=55 ALIGN=MIDDLE  ALT=\"2x%2B5=55\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Note these three angles add up to 180 degrees as a check.\r<BR>\n" );
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document.write( "Step 6.  ANSWER:  The angles of the triangle are 25, 100, and 55 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 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<BR>\n" );
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