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Convert the following statements into linear equations:

In a triangle ABC, ∠A is 10° more than ∠B. Also ∠C is three times ∠A. Express the equation in terms of angle B.

1 Answer

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Best answer

Let ∠B = b

Given ∠A = 10° + ∠B = 10 + b

Also given that ∠C = 3 x ∠A = 3 x (10 + 6) = 30 + 3b

Sum of the angles = 180°

∠A + ∠B + ∠C = 180°

10 + b + b + 30 + 3b = 180°

∴ 5b + 40 = 180°

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