document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=317743>Question 317743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a triangle the measure of the largest angle is 3 times the measure of the smallest angle. The measure of the remaining angle is twice the measure of the smallest angle. What is the measure of the longest angle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227526 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=227526\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = first angle<BR>\n" );
document.write( "Let y = second angle<BR>\n" );
document.write( "Let z = 3rd angle\r<BR>\n" );
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document.write( "We know that in a triangle, the 3 angles have to add up to 180 degrees:\r<BR>\n" );
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document.write( "x+y+z = 180\r<BR>\n" );
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document.write( "We also know that:\r<BR>\n" );
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document.write( "z = 3x<BR>\n" );
document.write( "y = 2x\r<BR>\n" );
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document.write( "Plug this information into the other equation:\r<BR>\n" );
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document.write( "x + y + z = 180<BR>\n" );
document.write( "x + 2x + 3x = 180<BR>\n" );
document.write( "6x = 180<BR>\n" );
document.write( "x = 30\r<BR>\n" );
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document.write( "This means y=2(30)=60 and z=3(30)=90\r<BR>\n" );
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document.write( "x=30<BR>\n" );
document.write( "y=60<BR>\n" );
document.write( "z=90 </SPAN>\n" );
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