document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=958908>Question 958908</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trying to help our daughter...<BR>\n" );
document.write( "In an obtuse scalene triangle, one angle is 70 degrees larger than another angle and the thrid angle is half the sum of the other two angles. What is the measure, in degrees, of each of the three angles of the triangle? \r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586038 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=586038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sort through the description and transcribe into number expressions.  Assign some variables; your choice how...\r<BR>\n" );
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document.write( "\"one angle\",  70 degrees more than...?.\r<BR>\n" );
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document.write( "\"another angle\", x<BR>\n" );
document.write( "\"the third angle\", y\r<BR>\n" );
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document.write( "\"one angle\",  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2Bx ALIGN=MIDDLE  ALT=\"70%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "\"third angle\", <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F2%29%28%2870%2Bx%29%2Bx%29 ALIGN=MIDDLE  ALT=\"y=%281%2F2%29%28%2870%2Bx%29%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Review all that and find how it makes sense before continuing...\r<BR>\n" );
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document.write( "Simplify the \"third angle\" equation.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=35%2Bx%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=35%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you wonder what to do next having only one equation in two unknown variables, use the fact for sum of interior angles of a triangle:  180 degrees.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2870%2Bx%29%2Bx%2By=180 ALIGN=MIDDLE  ALT=\"%2870%2Bx%29%2Bx%2By=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >, now giving you TWO equations in two unknown variables.\r<BR>\n" );
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document.write( "Simplifying,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2B2x%2By=180 ALIGN=MIDDLE  ALT=\"70%2B2x%2By=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282x%2By=110%29 ALIGN=MIDDLE  ALT=\"highlight_green%282x%2By=110%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You have a system,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28y=35%2Bx%2C2x%2By=110%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28y=35%2Bx%2C2x%2By=110%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which should be a simple chore to solve and no further trouble. </SPAN>\n" );
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