document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81867>Question 81867</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measures of an angle is 34 degrees less than its supplement. Find the measure of each angle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58687 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=58687\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a problem with 2 equations and 2 unknowns. Any time you have at least as many equations as you have unknowns, you can solve the problem! The fun part is figuring out what the equations are... let A be one angle and B be the other angle. You know from the information given that the 2 angles are supplementary. 2 angles that are supplementary add up to 180 degrees. So, you can write the first equation:<BR>\n" );
document.write( "Equation #1: A+B=180<BR>\n" );
document.write( "You are also given the fact that one angle is 34 degrees less than the other. So you can develop another equation to reflect this:<BR>\n" );
document.write( "Equation #2: A=B-34<BR>\n" );
document.write( "==========================================<BR>\n" );
document.write( "Now you have got your two equations and 2 unknowns, so you are good to go!<BR>\n" );
document.write( "First, substitute the expression for A from Equation #2 into Equation #1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28B-34%29%2BB=180 ALIGN=MIDDLE  ALT=\"%28B-34%29%2BB=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2B=214 ALIGN=MIDDLE  ALT=\"2B=214\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28B=107%29 ALIGN=MIDDLE  ALT=\"highlight%28B=107%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that you have a value for B, substitute that into Equation #2 to find A:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=107-34 ALIGN=MIDDLE  ALT=\"A=107-34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A=73%29 ALIGN=MIDDLE  ALT=\"highlight%28A=73%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You should plug these values that you found for A and B back into the original equations to see if the equations still hold true.<BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com </SPAN>\n" );
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