document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976150>Question 976150</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The second angle of a triangle garden is four times as large as the 1st. The third angle is 45 degree less than the sum o the other two angles. Find the measures of each angle. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Please+help+me+solve+this+problem ALIGN=MIDDLE  ALT=\"+Please+help+me+solve+this+problem\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "x+4x + (5x-45)=180<BR>\n" );
document.write( "x+4x + (5x-45) = 10-45<BR>\n" );
document.write( "10x + 45-45 = 180 -45<BR>\n" );
document.write( "10x = 135<BR>\n" );
document.write( "10/10 = 135/10<BR>\n" );
document.write( "x = 13.5 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597804 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</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=597804\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first angles x and y; last angle z.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=4x%2Cz=-45%2Bx%2By%2Cx%2By%2Bz=180%29 ALIGN=MIDDLE  ALT=\"system%28y=4x%2Cz=-45%2Bx%2By%2Cx%2By%2Bz=180%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "More than one way to go.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=x%2B4x-45 ALIGN=MIDDLE  ALT=\"z=x%2B4x-45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=5x-45 ALIGN=MIDDLE  ALT=\"z=5x-45\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%284x%29%2Bz=180 ALIGN=MIDDLE  ALT=\"x%2B%284x%29%2Bz=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4x%2B%285x-45%29=180 ALIGN=MIDDLE  ALT=\"x%2B4x%2B%285x-45%29=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B5x-45=180 ALIGN=MIDDLE  ALT=\"5x%2B5x-45=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-45=180 ALIGN=MIDDLE  ALT=\"10x-45=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x=180%2B45 ALIGN=MIDDLE  ALT=\"10x=180%2B45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x=225 ALIGN=MIDDLE  ALT=\"10x=225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=22.5%29 ALIGN=MIDDLE  ALT=\"highlight%28x=22.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------you can now find the other angles, y and z.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "----<BR>\n" );
document.write( "Another way:\r<BR>\n" );
document.write( "\n" );
document.write( "Put the system into x,y,z form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%284x-y%2B0%2Az=0%2Cx%2By-z=45%2Cx%2By%2Bz=180%29 ALIGN=MIDDLE  ALT=\"system%284x-y%2B0%2Az=0%2Cx%2By-z=45%2Cx%2By%2Bz=180%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By%2Bz=180%2Cx%2By-z=45%2C4x-y%2B0%2Az=0%29 ALIGN=MIDDLE  ALT=\"system%28x%2By%2Bz=180%2Cx%2By-z=45%2C4x-y%2B0%2Az=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "R2=R2-R1, R3=R3-4*R1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By%2Bz=180%2C-2z=45-180%2C0%2Ax-y-4%2Ay%2B0%2Az-4z=0-4%2A180%29 ALIGN=MIDDLE  ALT=\"system%28x%2By%2Bz=180%2C-2z=45-180%2C0%2Ax-y-4%2Ay%2B0%2Az-4z=0-4%2A180%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By%2Bz=180%2C-2z=-135%2C0%2Ax-5y-4z=-720%29 ALIGN=MIDDLE  ALT=\"system%28x%2By%2Bz=180%2C-2z=-135%2C0%2Ax-5y-4z=-720%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Look at last two equations.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28z=135%2F2%2C5y%2B4z=720%29 ALIGN=MIDDLE  ALT=\"system%28z=135%2F2%2C5y%2B4z=720%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y=720-4z ALIGN=MIDDLE  ALT=\"5y=720-4z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28720-4z%29%2F5 ALIGN=MIDDLE  ALT=\"y=%28720-4z%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28720-4%28135%2F2%29%29%2F5 ALIGN=MIDDLE  ALT=\"y=%28720-4%28135%2F2%29%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28720-270%29%2F5 ALIGN=MIDDLE  ALT=\"y=%28720-270%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=90%29 ALIGN=MIDDLE  ALT=\"highlight%28y=90%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------and you already have the value of z...<BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=135%2F2 ALIGN=MIDDLE  ALT=\"z=135%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28z=67%261%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28z=67%261%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "Use z and y to find value for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=180-y-z ALIGN=MIDDLE  ALT=\"x=180-y-z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=180-90-135%2F2 ALIGN=MIDDLE  ALT=\"x=180-90-135%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=180-90-67%261%2F2 ALIGN=MIDDLE  ALT=\"x=180-90-67%261%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=90-67%261%2F2 ALIGN=MIDDLE  ALT=\"x=90-67%261%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=22%261%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=22%261%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );