document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=511010>Question 511010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The largest angle of a triangle is 6 times the smallest angle and it is 3 times the other angle. Find the size of the smallest angle.\r<BR>\n" );
document.write( "\n" );
document.write( "A. 40 degrees<BR>\n" );
document.write( "B. 30 degrees<BR>\n" );
document.write( "C. 20 degrees<BR>\n" );
document.write( "D. 10 degrees\r<BR>\n" );
document.write( "\n" );
document.write( "So far I have tried all answers but they don't come to 180 degrees. My first thought was 30 degrees because then the other angle would be 90 but then that would require the largest angle to be 180. Now there is a 200 degree triangle but I am not sure if I am correct. \r<BR>\n" );
document.write( "\n" );
document.write( "All help would be greatly appreciated!\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Ann </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #342114 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=342114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A = the largest angle<BR>\n" );
document.write( "Let B = the \"other angle<BR>\n" );
document.write( "let C = the smallest angle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each statement, get them all in terms of A:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"The largest angle of a triangle is 6 times the smallest angle\"<BR>\n" );
document.write( "A = 6C<BR>\n" );
document.write( "Divide both sides by 6, and we have<BR>\n" );
document.write( "C = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >A<BR>\n" );
document.write( ":<BR>\n" );
document.write( "and it is 3 times the other angle. <BR>\n" );
document.write( "A = 3B<BR>\n" );
document.write( "Divide both sides by 3<BR>\n" );
document.write( "B = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >A<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A + B + C = 180<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "A + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >A + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >A = 180<BR>\n" );
document.write( "Get rid of those annoying fractions, multiply by 6 and we have<BR>\n" );
document.write( "6A + 2A + A = 6(180)<BR>\n" );
document.write( "9A = 1080<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1080%2F9 ALIGN=MIDDLE  ALT=\"1080%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 120 degrees is the largest angle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the size of the smallest angle. <BR>\n" );
document.write( "C = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >A<BR>\n" );
document.write( "C = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >*120<BR>\n" );
document.write( "C = 20 degrees <BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can check this; find the other angle and ensure they add up to 180 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );