one angle of a triangle is 60 the other two angles are in the ratio 5:7 find two angles
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From the triangle ABC
Consider ∠A=60 ∘
,∠B:∠C=5:7
In a triangle
∠A+∠B+∠∠C=180 ∘
Substituting the values
60 ∘ +∠B+∠C=180 ∘
By further calculation
∠B+∠C=180 ∘ –60 ∘ =120 ∘
Take ∠B=5x and ∠C=7x
Substituting the values
5x+7x=120 ∘
12x=120 ∘
x=120 ∘ /12=10 ∘
So we get
∠B=5x=5××10 ∘ =50 ∘
∠C=7x=7××10 ∘ =70 ∘
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