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=α−17  α+β+γ=180 α−β=16 α−γ=17  Row2−Row1→Row2 α+β+γ=180 −2β−γ=−164 α−γ=17  Row3−Row1→Row3 α+β+γ=180 −2β−γ=−164 −β−2γ=−163  Row3−−2−1​⋅ Row2→Row3 α+β+γ=180 −2β−γ=−164 −1.5γ=−81  γ=−1.5−81​=54 β=−2−164+γ​=−2−164+54​=55 α=180−β−γ=180−55−54=71  α=71 β=55 γ=54

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