document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=907108>Question 907108</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the measure of an angle if five times the measure of its complement is 24 degrees less than twice the measure of its supplement.\r<BR>\n" );
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document.write( "This is what I have: 5 (90-x)=2 (180-x)-24 but I can't get a positive answer. Can you help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550167 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=550167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Step 1.  Two angles are complementary when they add up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90 ALIGN=MIDDLE  ALT=\"90\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees and two angles are supplementary when they add up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180 ALIGN=MIDDLE  ALT=\"180\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees\r<BR>\n" );
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document.write( "Step 2.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the angle.\r<BR>\n" );
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document.write( "Step 3.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90-x ALIGN=MIDDLE  ALT=\"90-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the complementary angle.\r<BR>\n" );
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document.write( "Step 4.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-x ALIGN=MIDDLE  ALT=\"180-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the supplementary angle.\r<BR>\n" );
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document.write( "Step 5.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2890-x%29 ALIGN=MIDDLE  ALT=\"5%2890-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > be five times the complement of the angle.\r<BR>\n" );
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document.write( "Step 6.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28180-x%29 ALIGN=MIDDLE  ALT=\"2%28180-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > be twice the measure of its supplement\r<BR>\n" );
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document.write( "Step 7.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2890-x%29=2%28180-x%29-24 ALIGN=MIDDLE  ALT=\"5%2890-x%29=2%28180-x%29-24\"   DISABLED_style= \"max-width:90%; height:auto;\" >  since  five times the measure of its complement is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24 ALIGN=MIDDLE  ALT=\"24\"   DISABLED_style= \"max-width:90%; height:auto;\" > less than twice the measure of its supplement<BR>\n" );
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document.write( "Step 8.  Then solving the equation of Step 7 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2890-x%29=2%28180-x%29-24 ALIGN=MIDDLE  ALT=\"5%2890-x%29=2%28180-x%29-24\"   DISABLED_style= \"max-width:90%; height:auto;\" > will lead to the following steps:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2890-x%29=2%28180-x%29-24 ALIGN=MIDDLE  ALT=\"5%2890-x%29=2%28180-x%29-24\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=450-5x=360-2x-24 ALIGN=MIDDLE  ALT=\"450-5x=360-2x-24\"   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=450-5x=336-2x ALIGN=MIDDLE  ALT=\"450-5x=336-2x\"   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=450-336=5x-2x ALIGN=MIDDLE  ALT=\"450-336=5x-2x\"   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=114=3x ALIGN=MIDDLE  ALT=\"114=3x\"   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=114%2F3=x ALIGN=MIDDLE  ALT=\"114%2F3=x\"   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=38=x ALIGN=MIDDLE  ALT=\"38=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=38 ALIGN=MIDDLE  ALT=\"x=38\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90-x=52 ALIGN=MIDDLE  ALT=\"90-x=52\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-x=142 ALIGN=MIDDLE  ALT=\"180-x=142\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Check...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x-90%29=2%28x-180%29-24 ALIGN=MIDDLE  ALT=\"5%28x-90%29=2%28x-180%29-24\"   DISABLED_style= \"max-width:90%; height:auto;\" > if true than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A52=2%2A142-24 ALIGN=MIDDLE  ALT=\"5%2A52=2%2A142-24\"   DISABLED_style= \"max-width:90%; height:auto;\" > =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260=260 ALIGN=MIDDLE  ALT=\"260=260\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is a true statement.\r<BR>\n" );
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document.write( " ANSWER:  <BR>\n" );
document.write( "The angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38 ALIGN=MIDDLE  ALT=\"38\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees, its complementary angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52 ALIGN=MIDDLE  ALT=\"52\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees and its supplementary angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=142 ALIGN=MIDDLE  ALT=\"142\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees.\r<BR>\n" );
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