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Algebra what are the angles of a triangle ABC? which satisfies equations C=3B AND C=2(A+B)

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C = 3B = 2(A+B)
3/2 B = A+B
1/2B = A
C = 2 (1/2B + B)
C = 3B

**A = 1/2B
C = 3B
B = B

1/2B + 3B + B = 4 1/2 B
180/4.5B => B = 40

If B = 40, then A = 1/2B = 20 and C = 3B = 120.

**answer: A = 20 degrees, B = 40 degrees and C = 120 degrees.

Posted on Jan 10, 2009

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