?
∠A + $$\frac{1}{2}$$ ∠B + ∠C = 140°, then ∠B is :
Answer & Solution
Correct Answer:
Option
B
According to question,
∠A + $$\frac{1}{2}$$ ∠B + ∠C = 140° . . . . . . . . (i)
As we know that
∠A + ∠B + ∠C = 180° . . . . . . . . . (ii)
Compare equation (i) and (ii)
$$\frac{1}{2}$$ ∠B = 40°
∴ ∠B = 80°
∠A + $$\frac{1}{2}$$ ∠B + ∠C = 140° . . . . . . . . (i)
As we know that
∠A + ∠B + ∠C = 180° . . . . . . . . . (ii)
Compare equation (i) and (ii)
$$\frac{1}{2}$$ ∠B = 40°
∴ ∠B = 80°
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