document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=679717>Question 679717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in triangle ABC, angle C is three times as large as angle A. Angle B measures 5 degrees less than angle A. Find the measures 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 #422036 by </B><A HREF=/tutors/aboutme.mpl?userid=pmatei><B>pmatei(79)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=pmatei><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=422036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In any triangle: \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=angleA+%2B+angleB+%2B+angle+C+=+180 ALIGN=MIDDLE  ALT=\"angleA+%2B+angleB+%2B+angle+C+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "The problem states:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=angle+C+=+3%2Aangle+A ALIGN=MIDDLE  ALT=\"angle+C+=+3%2Aangle+A\"   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=angle+B+=+angleA+-+5 ALIGN=MIDDLE  ALT=\"angle+B+=+angleA+-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Substitute angleB and angleC in the first equation with the right side of the second and third equations:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=angleA+%2B+%28angleA+-+5%29+%2B+%283%2AangleA%29+=+180 ALIGN=MIDDLE  ALT=\"angleA+%2B+%28angleA+-+5%29+%2B+%283%2AangleA%29+=+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=5%2AangleA+-+5+=+180 ALIGN=MIDDLE  ALT=\"5%2AangleA+-+5+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Add 5 to both sides of the equation:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2AangleA+=+185 ALIGN=MIDDLE  ALT=\"5%2AangleA+=+185\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Divide both sides by 5:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=angleA+=+37 ALIGN=MIDDLE  ALT=\"angleA+=+37\"   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=angleB+=+angleA+-+5+=+37-5=32 ALIGN=MIDDLE  ALT=\"angleB+=+angleA+-+5+=+37-5=32\"   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=angleC+=+3%2AangleA+=+3%2A37+=+111 ALIGN=MIDDLE  ALT=\"angleC+=+3%2AangleA+=+3%2A37+=+111\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Solution check:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37+%2B+32+%2B+111+=+180 ALIGN=MIDDLE  ALT=\"37+%2B+32+%2B+111+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );