One-quarter 13953

Calculate the magnitude of the interior angles of the triangle ABC if alpha = two-fifths beta and alpha = one-quarter gamma.

Correct answer:

α =  24 °
β =  60 °
γ =  96 °

Step-by-step explanation:

α=52 β α=4γ α+β+γ=180  α=2/5 β α=γ/4 α+β+γ=180  5α2β=0 4αγ=0 α+β+γ=180  Row254 Row1Row2 5α2β=0 1.6βγ=0 α+β+γ=180  Row351 Row1Row3 5α2β=0 1.6βγ=0 1.4β+γ=180  Row31.61.4 Row2Row3 5α2β=0 1.6βγ=0 1.875γ=180  γ=1.875180=96 β=1.60+γ=1.60+96=60 α=50+2β=50+2 60=24  α=24 β=60 γ=96



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