One angle 2

One angle of a triangle measures 50°. The other two angles are in a ratio of 5:8. What are the measures of those two angles?

Correct answer:

β =  50 °
γ =  80 °

Step-by-step explanation:

α=50  β:γ=5:8 α+β+γ = 180   β+γ = 180α = 18050 = 130    φ=5+8130=10   β=5 φ=5 10=50
γ=8 φ=8 10=80=80   Verifying Solution:  s=α+β+γ=50+50+80=180  r=β:γ=50:80=85=0.625=5:8



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