document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100788>Question 100788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the number of degrees in each angle of a traingle if the number of degrees in the first angle is two less than four times the number of degrees in the second angle and the number of degrees in the third angle is 5 less than 1/2 the number of degrees in the second. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73416 by </B><A HREF=/tutors/aboutme.mpl?userid=doukungfoo><B>doukungfoo(195)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doukungfoo><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=doukungfoo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=73416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: the sum of the three angles of any triangle will always equal 180 degrees.\r<BR>\n" );
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document.write( "Lets start by calling the second angle x<BR>\n" );
document.write( "<b>second angle = x</b><BR>\n" );
document.write( "Now define the other angles in terms of x<BR>\n" );
document.write( "Given: first angle is two less than four times the second<BR>\n" );
document.write( "So since we have stated that the second angle is x<BR>\n" );
document.write( "<b>first angle = 4x-2</b><BR>\n" );
document.write( "Given: third angle is 5 less than 1/2 the second<BR>\n" );
document.write( "<b>third angle = x/2 - 5</b><BR>\n" );
document.write( "We have already stated that the sum of all three angles equals 180<BR>\n" );
document.write( "so now we can write and equation to solve for x<BR>\n" );
document.write( "(first angle) + (second angle) + (thrid angle) = 180<BR>\n" );
document.write( "(4x-2) + (x) + (x/2-5) = 180<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-2%2Bx%2B%28x%2F2%29-5=180 ALIGN=MIDDLE  ALT=\"4x-2%2Bx%2B%28x%2F2%29-5=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%2B%28x%2F2%29-7=180 ALIGN=MIDDLE  ALT=\"5x%2B%28x%2F2%29-7=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x%2F2%29%2B%28x%2F2%29-7=180 ALIGN=MIDDLE  ALT=\"%2810x%2F2%29%2B%28x%2F2%29-7=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811x%2F2%29-7=180 ALIGN=MIDDLE  ALT=\"%2811x%2F2%29-7=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x%2F2=187 ALIGN=MIDDLE  ALT=\"11x%2F2=187\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x=374 ALIGN=MIDDLE  ALT=\"11x=374\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=34 ALIGN=MIDDLE  ALT=\"x=34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<b>Answer: second angle is 34 degrees</b><BR>\n" );
document.write( "now find the other angles for x=34<BR>\n" );
document.write( "first angle = 4x-2<BR>\n" );
document.write( "first angle = 4*34-2<BR>\n" );
document.write( "first angle = 134<BR>\n" );
document.write( "<b>Answer: first angle is 134 degrees</b><BR>\n" );
document.write( "third angle = x/2 - 5<BR>\n" );
document.write( "third angle = 34/2 - 5<BR>\n" );
document.write( "third angle = 12<BR>\n" );
document.write( "<b>Answer: third angle is 12 degrees</b><BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(first angle) + (second angle) + (thrid angle) = 180<BR>\n" );
document.write( "134 + 34 + 12 = 180<BR>\n" );
document.write( "180 = 180 </SPAN>\n" );
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