SOLUTION: In any triangle, the sum of the measures of the angles is 180 degrees. In triangle ABC, angle A is three times as large as angle B and also 16 degress larger thans angle c. Find th

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Question 13284: In any triangle, the sum of the measures of the angles is 180 degrees. In triangle ABC, angle A is three times as large as angle B and also 16 degress larger thans angle c. Find the measure of each angle.
Answer by bam878s(77) About Me  (Show Source):
You can put this solution on YOUR website!
From this we have
A=3B and A=C+16
So B=A/3 and C=A-16
We know 180=A+B+C
So, 180=A + (A/3) + (A-16)
180=A(1+(1/3)+1)-16
180=A(7/3)-16
196=A(7/3)
A=84
So B=A/3=84/3=28
and C=A-16=84-16=68
Check 68+28+84=180