document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213114>Question 213114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measure of the complement of an angle is 3x+9. The measure of the supplement of an angle is 3x+99. What is the measure of the angle?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161016 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=161016\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The measure of the complement of an angle is 3x+9. The measure of the supplement of an angle is 3x+99. What is the measure of the angle?\r<BR>\n" );
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document.write( "Step 1.  The complement is when two angles add up to 90 degrees and the supplement is when the two angles add up to 180 degrees.\r<BR>\n" );
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document.write( "Step 2.   let x  be the measure of the unknown angle.\r<BR>\n" );
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document.write( "Step 3.  Let 90 -x be its complement and 180- x be the supplement of the angle.\r<BR>\n" );
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document.write( "Step 4.  Given  90-x=3x+9  The measure of the complement of an angle is 3x+9. Solve using the following steps.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90-x=3x%2B9 ALIGN=MIDDLE  ALT=\"90-x=3x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add x-9 to both sides to isolate x-terms on right side and numbers on left.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90-x%2Bx-9=3x%2B9%2Bx-9 ALIGN=MIDDLE  ALT=\"90-x%2Bx-9=3x%2B9%2Bx-9\"   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=90-x%2Bx-9=3x%2B9%2Bx-9 ALIGN=MIDDLE  ALT=\"90-x%2Bx-9=3x%2B9%2Bx-9\"   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=91=4x ALIGN=MIDDLE  ALT=\"91=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 4 to both sides yields \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=91%2F4=x ALIGN=MIDDLE  ALT=\"91%2F4=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5.   Given 3x+99=180-x.  The measure of the supplement of an angle is 3x+99. So\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B99=180-x ALIGN=MIDDLE  ALT=\"3x%2B99=180-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add  x+99 to both sides of equation to isolate x on right side and numbers on left\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B99%2Bx-99=180-x%2Bx-99 ALIGN=MIDDLE  ALT=\"3x%2B99%2Bx-99=180-x%2Bx-99\"   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=4x=91 ALIGN=MIDDLE  ALT=\"4x=91\"   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=91%2F4 ALIGN=MIDDLE  ALT=\"x=91%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6.  The angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=91%2F4 ALIGN=MIDDLE  ALT=\"x=91%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\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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