Determine 83240

In triangle ABC, the internal angle beta is twice the size of the angle alpha, and the angle gamma is 20 degrees less than the size of the angle beta. Determine the size of all interior angles of this triangle.

Correct answer:

α =  40 °
β =  80 °
γ =  60 °

Step-by-step explanation:

β=2α γ = β20   α + β + γ = 180    α + 2α + (β20) = 180  α + 2α + (2α20) = 180  5α = 180+20  α=5180+20=40
β=2 α=2 40=80
γ=β20=8020=60=60   Verifying Solution:   s=α+β+γ=40+80+60=180 



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