# The 3 angles

Geometry Level 5

Let $$A,B$$ and $$C$$ be $$3$$ angles such that $$\cos A+\cos B + \cos C=0$$ and if $$\cos A+\cos B + \cos C= M(\cos 3A + \cos 3B + \cos 3C)$$

Find $$144M$$.

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