<PRE><B>Question 952642</B>
M=Middle angle; S=smallest angle=(2/3)M; L=largest angle=3M-30 degrees
S+M+L=180 degrees Substitute for S and L.
2/3(M)+M+3M-30 degrees=180 degrees Add 30 degrees to each side.
(14/3)M=210 degrees Multiply each side by 3/14
M=630/14=45 degrees ANSWER 1: The middle angle is 45 degrees.
S=2/3(M)=2/3(45 degrees)=30 degrees ANSWER 2: The small angle is 30 degrees.
L=3M-30=3(45 degrees)-30 degrees=105 degrees ANSWER 3: The large angle is 105 degrees.
CHECK:
S+M+L=180 degrees
30 degrees+45 degrees+105 degrees=180 degrees
180 degrees=180 degrees</PRE>