geometry or algebra

Geometry Level 2

a,b,ca,b,c denote sides opposite to angles α,β,γ\alpha, \beta, \gamma. Given that 1b+c+1a+c=3a+b+c\frac { 1 }{ b+c } +\frac { 1 }{ a+c } =\frac { 3 }{ a+b+c } , then find angle γ\gamma.

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