document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312126>Question 312126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two angles are complementary.  The sum of the measure of the first angle and one-fourth the second angle is 84.75 degrees.  \r<BR>\n" );
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document.write( "Find the measures of the angles.\r<BR>\n" );
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document.write( "What is the measure of the smaller angle ______degrees\r<BR>\n" );
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document.write( "What is the measure of the other angle ________degrees </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224052 by </B><A HREF=/tutors/aboutme.mpl?userid=moshiz08><B>moshiz08(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=moshiz08><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=moshiz08><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Complementary angles add up to 90 degrees. \r<BR>\n" );
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document.write( "Let's call the first angle x, <BR>\n" );
document.write( "and the second angle y. \r<BR>\n" );
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document.write( "(eq1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+90+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "We need to express the statement as an equation: <BR>\n" );
document.write( "The sum of the measure of the first angle and one-fourth the second angle is 84.75 degrees: <BR>\n" );
document.write( "(eq2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+%2F+4++=+84.75+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+%2F+4++=+84.75+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "We can rewrite (eq1) as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+90+-+y ALIGN=MIDDLE  ALT=\"+x+=+90+-+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then substitute into (eq2): \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+%2F+4++=+%2890+-+y%29+%2B+y%2F4+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+%2F+4++=+%2890+-+y%29+%2B+y%2F4+\"   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+-+3y%2F4+=+84.75 ALIGN=MIDDLE  ALT=\"90+-+3y%2F4+=+84.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3y+%2F+4+=+5.25+ ALIGN=MIDDLE  ALT=\"+3y+%2F+4+=+5.25+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+5.25+%2A+4+%2F+3+=+7 ALIGN=MIDDLE  ALT=\"+y+=+5.25+%2A+4+%2F+3+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=83 ALIGN=MIDDLE  ALT=\"x=83\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "I hope that helps.  </SPAN>\n" );
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