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The ratios of the length of the sides BC...

The ratios of the length of the sides BC and AC of `DeltaABC` to the radius of circumscribea cirere are equal to 2 and respectively. If the ratio of the lengths of the bisectors of the interior angles B and C is `(alpha(sqrtalpha-1))/(beta sqrt gamma)` where `alpha,beta,gamma in N`, then find the value of `(alpha + beta + gamma)`.

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