Calculate 82472

Calculate the interior angles of the triangle. The angle alpha is 16° greater than beta, and the angle gamma is 17° less than alpha.

Correct answer:

α =  71 °
β =  55 °
γ =  54 °

Step-by-step explanation:

α+β+γ=180 α=16+β γ=α17  α+β+γ=180 αβ=16 αγ=17  Row2Row1Row2 α+β+γ=180 2βγ=164 αγ=17  Row3Row1Row3 α+β+γ=180 2βγ=164 β2γ=163  Row321 Row2Row3 α+β+γ=180 2βγ=164 1.5γ=81  γ=1.581=54 β=2164+γ=2164+54=55 α=180βγ=1805554=71  α=71 β=55 γ=54

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