Question

in triangle abc 2 times angle A is equal to 3 times angle b is equal to 6 times angle C find angle A B and C of the triangle ABC

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given:

In ΔABC 2 times ∠A is equal to 3 times ∠b is equal to 6 times ∠C

To Find:

Find ∠A, ∠B and ∠C of the ΔABC

Solution:

Let every angle be in terms of C.

So,

∠C = C

∠B = 2C               (3B=6C)

∠A = 3C                (2A=6C)

So, by angle sum property,

∠A + ∠B + ∠C = 180°

3C + 2C + C = 180°

6C = 180°

∠C = 30°

∠B = 60°

∠A = 90°

Hence, ∠A = 90°, ∠B = 60° and ∠C = 30° in the ΔABC.