document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185531>Question 185531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cant figure this out.  Help Please!  :)\r<BR>\n" );
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document.write( "The measure of the second angle of a triangle is 50 degrees more than that of the first.  The measure of the third angle is 10 degrees less than twice the first.  Find the measures of the angles.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139187 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=139187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let \"x\" be the measure of the first angle\r<BR>\n" );
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document.write( "Since \"The measure of the second angle of a triangle is 50 degrees more than that of the first.\", this means that the second angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B50 ALIGN=MIDDLE  ALT=\"x%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" > (ie add 50 to the measure of the first angle). Also, because the \"measure of the third angle is 10 degrees less than twice the first.\", this tells us that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-10 ALIGN=MIDDLE  ALT=\"2x-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now remember, for EVERY triangle, the sum of their angles is 180 degrees. So this means that\r<BR>\n" );
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document.write( "Angle 1 + Angle 2 + Angle 3 = 180\r<BR>\n" );
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document.write( "which becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%2B%28x%2B50%29%2B%282x-10%29=180 ALIGN=MIDDLE  ALT=\"%28x%29%2B%28x%2B50%29%2B%282x-10%29=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-------------------------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%2B%28x%2B50%29%2B%282x-10%29=180 ALIGN=MIDDLE  ALT=\"%28x%29%2B%28x%2B50%29%2B%282x-10%29=180\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B40=180 ALIGN=MIDDLE  ALT=\"4x%2B40=180\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=180-40 ALIGN=MIDDLE  ALT=\"4x=180-40\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40 ALIGN=MIDDLE  ALT=\"40\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=140 ALIGN=MIDDLE  ALT=\"4x=140\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28140%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x=%28140%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=35 ALIGN=MIDDLE  ALT=\"x=35\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=35 ALIGN=MIDDLE  ALT=\"x=35\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "So the first angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=35 ALIGN=MIDDLE  ALT=\"x=35\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "the second angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%2B50=85 ALIGN=MIDDLE  ALT=\"35%2B50=85\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and the third angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2835%29-10=70-10=60 ALIGN=MIDDLE  ALT=\"2%2835%29-10=70-10=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, the measures of the three angles are: 35, 85, and 60 degrees  </SPAN>\n" );
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