Question
Angle between the internal bisectors of two angles of a triangle ∠B and ∠C is 120°, then ∠A is :
Answer: Option C
According to question,
Given : ∠BIC = 120°
∠BIC = 90° + $$\frac{1}{2}$$ ∠A
$$\frac{{\angle A}}{2}$$ = (120° - 90°)
$$\frac{{\angle A}}{2}$$ = 30°
∠A = 60°
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According to question,
Given : ∠BIC = 120°
∠BIC = 90° + $$\frac{1}{2}$$ ∠A
$$\frac{{\angle A}}{2}$$ = (120° - 90°)
$$\frac{{\angle A}}{2}$$ = 30°
∠A = 60°
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