document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119671>Question 119671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=The+measures+of+the+angles+of+triangle+ABC+are+5x%2C+4x-1%2C+and+3x%2B13.+Find+the+measure+of+each+angle+of+the+triangle.+Explain ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87674 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=87674\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "If the angles in triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABC ALIGN=MIDDLE  ALT=\"ABC\"   DISABLED_style= \"max-width:90%; height:auto;\" > are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then:\r<BR>\n" );
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document.write( "the angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+5x ALIGN=MIDDLE  ALT=\"A+=+5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+4x-1+ ALIGN=MIDDLE  ALT=\"B+=+4x-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and \r<BR>\n" );
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document.write( "the angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+3x%2B13 ALIGN=MIDDLE  ALT=\"C+=+3x%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since their sum is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+180 ALIGN=MIDDLE  ALT=\"+180\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we will have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+B+%2B+C+=+180 ALIGN=MIDDLE  ALT=\"A+%2B+B+%2B+C+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   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=5x+%2B+%284x-1+%29+%2B+%283x%2B13%29+=+180 ALIGN=MIDDLE  ALT=\"5x+%2B+%284x-1+%29+%2B+%283x%2B13%29+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….solve for <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=5x+%2B+4x+-1+%2B+3x+%2B13+=+180 ALIGN=MIDDLE  ALT=\"5x+%2B+4x+-1+%2B+3x+%2B13+=+180\"   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=12x++%2B12+=+180 ALIGN=MIDDLE  ALT=\"12x++%2B12+=+180\"   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=12x++=+180+-+12 ALIGN=MIDDLE  ALT=\"12x++=+180+-+12\"   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=12x++=+168 ALIGN=MIDDLE  ALT=\"12x++=+168\"   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++=+168%2F12 ALIGN=MIDDLE  ALT=\"x++=+168%2F12\"   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++=+14 ALIGN=MIDDLE  ALT=\"x++=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….\r<BR>\n" );
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document.write( "Now calculate each angle:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+5x ALIGN=MIDDLE  ALT=\"A+=+5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >……………… substitute <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=A+=+5%2A14 ALIGN=MIDDLE  ALT=\"A+=+5%2A14\"   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=A+=+70 ALIGN=MIDDLE  ALT=\"A+=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" >………… the angle<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+ ALIGN=MIDDLE  ALT=\"A+\"   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=B+=+4%2A14+-+1+ ALIGN=MIDDLE  ALT=\"B+=+4%2A14+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >………….. substitute <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=B+=+56+-+1+ ALIGN=MIDDLE  ALT=\"B+=+56+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+55 ALIGN=MIDDLE  ALT=\"B+=+55\"   DISABLED_style= \"max-width:90%; height:auto;\" >…………….. the angle<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+ ALIGN=MIDDLE  ALT=\"B+\"   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=C+=+3%2A14+%2B13 ALIGN=MIDDLE  ALT=\"C+=+3%2A14+%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" >……………… substitute <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=C+=+42+%2B13 ALIGN=MIDDLE  ALT=\"C+=+42+%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+55 ALIGN=MIDDLE  ALT=\"C+=+55\"   DISABLED_style= \"max-width:90%; height:auto;\" >…………. the angle<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+ ALIGN=MIDDLE  ALT=\"C+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check their sum:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+B+%2B+C+=+180 ALIGN=MIDDLE  ALT=\"A+%2B+B+%2B+C+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70+%2B+55+%2B+55+=+180 ALIGN=MIDDLE  ALT=\"70+%2B+55+%2B+55+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70+%2B+110+=+180 ALIGN=MIDDLE  ALT=\"70+%2B+110+=+180\"   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=180+=+180 ALIGN=MIDDLE  ALT=\"180+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );