document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230562>Question 230562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two supplementary angles are in the ratio of 11:7. Find the measure of the smaller angle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170719 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=170719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two supplementary angles are in the ratio of 11:7. Find the measure of the smaller angle.\r<BR>\n" );
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document.write( "Step 1.  Supplementary angles means two angles add up to 180 degrees.\r<BR>\n" );
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document.write( "Step 2.  Let x be one angle.\r<BR>\n" );
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document.write( "Step 3.  Let 180-x be its supplementary angle.\r<BR>\n" );
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document.write( "Step 4.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F7=x%2F%28180-x%29 ALIGN=MIDDLE  ALT=\"11%2F7=x%2F%28180-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > since the ratio of two supplementary angles is 11:7.\r<BR>\n" );
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document.write( "Step 5.  Solving <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F7=x%2F%28180-x%29 ALIGN=MIDDLE  ALT=\"11%2F7=x%2F%28180-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > yields the following steps\r<BR>\n" );
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document.write( "Multiply 7(180-x) 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=cross%287%29%28180-x%29%2A11%2Fcross%287%29=7%2Across%28%28180-x%29%29%2Ax%2Fcross%28180-x%29 ALIGN=MIDDLE   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=%28180-x%29%2A11=7x ALIGN=MIDDLE  ALT=\"%28180-x%29%2A11=7x\"   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=1980-11x=7x ALIGN=MIDDLE  ALT=\"1980-11x=7x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 11x 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=1980-11x%2B11x=7x%2B11 ALIGN=MIDDLE  ALT=\"1980-11x%2B11x=7x%2B11\"   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=1980=18x ALIGN=MIDDLE  ALT=\"1980=18x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 18 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=1980%2F18=18x%2F18 ALIGN=MIDDLE  ALT=\"1980%2F18=18x%2F18\"   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=110 ALIGN=MIDDLE  ALT=\"x=110\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-x=70 ALIGN=MIDDLE  ALT=\"180-x=70\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Also note the ratio of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=110%2F70=11%2F7 ALIGN=MIDDLE  ALT=\"110%2F70=11%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6.  ANSWER:  The smaller angle is 70 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\r<BR>\n" );
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document.write( " </SPAN>\n" );
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