document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162283>Question 162283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two angles are complementary.  The sum of the measure of the first angle and one-forth the second angle is 81.75 degrees.  Find the measure of the angles.\r<BR>\n" );
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document.write( "What is the measure of the smaller angle?  ____ degrees<BR>\n" );
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 #119605 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=119605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A1 be the first angle and A2 be the second angle. Since they are complementary, you can write the following equation:<BR>\n" );
document.write( "Equation #1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A1%2BA2=90 ALIGN=MIDDLE  ALT=\"A1%2BA2=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From the given information, you can also write this equation:<BR>\n" );
document.write( "Equation #2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A1%2B%280.25%29A2=81.75 ALIGN=MIDDLE  ALT=\"A1%2B%280.25%29A2=81.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you have 2 equations and 2 unknowns, so you can solve the problem.<BR>\n" );
document.write( "First, solve equation #1 for A1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A1=90-A2 ALIGN=MIDDLE  ALT=\"A1=90-A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next, substitute this expression for A1 into Equation #2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90-A2%2B0.25%2AA2=81.75 ALIGN=MIDDLE  ALT=\"90-A2%2B0.25%2AA2=81.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, you can solve for A2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-A2%2B0.25%2AA2=81.75-90 ALIGN=MIDDLE  ALT=\"-A2%2B0.25%2AA2=81.75-90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.75%2AA2=-8.25 ALIGN=MIDDLE  ALT=\"-0.75%2AA2=-8.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A2=11%29 ALIGN=MIDDLE  ALT=\"highlight%28A2=11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next, just plug this value for A2 into equation #1 and you will have the value for A1. I will leave this part to you :-)<BR>\n" );
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document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com </SPAN>\n" );
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