If angles of a triangle are in the ration 4 : 5 : 6. Find the value of each angle
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Answer:
In a triangle, the sum of angles of a triangle is 180∘
∠A+∠B+∠C=180∘
It is given that
∠A:∠B:∠C=4:5:6
Consider ∠A=4x,∠B=5x and ∠C=6x
Substituting the values
4x+5x+6x=180∘
By further calculation
15x=180∘
x=180∘/15=12
So we get
∠A=4x=4×12∘=48∘
∠B=5x=5×12∘=60∘
∠C=6x=6×12∘=72∘
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