document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=217499>Question 217499</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The supplement of an angle is 4 more than twice its complement.  Find the measure 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 #163974 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=163974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The supplement of an angle is 4 more than twice its complement.  Find the measure of the angle. \r<BR>\n" );
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document.write( "Step 1.  Supplementary angles means two adjacent angles add up to 180 degrees.\r<BR>\n" );
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document.write( "Step 2.  Complementary angles means two adjacent angles add up to 90 degrees.\r<BR>\n" );
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document.write( "Step 3.  Let x be the angle.\r<BR>\n" );
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document.write( "Step 4.  Let 180-x be its supplementary angle.\r<BR>\n" );
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document.write( "Step 5.  Let 90-x be its complementary angle.\r<BR>\n" );
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document.write( "Step 6.  Let 2(90-x) be twice its complement\r<BR>\n" );
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document.write( "Step 7.  Then, 180-x=4+2(90-x) since the supplement of an angle is 4 more than twice its complement. \r<BR>\n" );
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document.write( "Step 8.  The following steps will solve the equatio in Step 7.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-x=4%2B2%2890-x%29 ALIGN=MIDDLE  ALT=\"180-x=4%2B2%2890-x%29\"   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=180-x=4%2B180-2x ALIGN=MIDDLE  ALT=\"180-x=4%2B180-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 2x-180 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=180-x%2B2x-180=184-2x%2B2x-180 ALIGN=MIDDLE  ALT=\"180-x%2B2x-180=184-2x%2B2x-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=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-x=176 ALIGN=MIDDLE  ALT=\"180-x=176\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90-x=86 ALIGN=MIDDLE  ALT=\"90-x=86\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-x=4%2B2%2890-x%29 ALIGN=MIDDLE  ALT=\"180-x=4%2B2%2890-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > in Step 7 is true...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=176=4%2B2%2A86 ALIGN=MIDDLE  ALT=\"176=4%2B2%2A86\"   DISABLED_style= \"max-width:90%; height:auto;\" >...which is a true statement.\r<BR>\n" );
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document.write( "Step 9.  ANSWER:  The angle is 4 degrees, its supplement is 176 degrees, and its complement is 86 degrees.\r<BR>\n" );
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document.write( "I hope the above steps and explanation 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 Triogonmetry, please visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Also,  good luck in your future studies. \r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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