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?

Final Answer:

β =  50 °
γ =  80 °

Step-by-step explanation:

α=50 ∘ β:γ=5:8 α+β+γ = 180  ∘ β+γ = 180−α = 180−50 = 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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You need to know the following knowledge to solve this word math problem:

planimetrybasic operations and conceptsUnits of physical quantitiesGrade of the word problem

 
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