Angles in triangle

The triangle is ratio of the angles β:γ = 6:8. Angle α is 40° greater than β. What are the size of angles of the triangle?

Correct result:

β =  82 °
γ =  42 °
α =  56 °

Solution:

α+β+γ=180∘ β/γ=6/8 α=40∘+β  α=6⋅180−402⋅68+18+40=82∘
β=6⋅180−402⋅68+18=42∘
γ=180−402⋅68+1=56∘

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