Question

11. In triangle ABC, A=3 B and C=2 B. Find all the three angles of triangleABC.
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Answer 1

Answer:

We know that in a △, the sum of all the interior angles is 180  

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⇒∠A+∠B+∠C=180  

Also given that,

∠C=3∠B and 3∠B=2∠A+2∠B

∠A=  

2

∠B

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Substituting values in (1), we get

2

∠B

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+∠B+3∠B=180  

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∴∠B=40  

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   ∠A=20  

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   ∠C=120  

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Answer 2

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