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Examveda

I is the incentre of ΔABC, ∠ABC = 60° and ∠ACB = 50°, Then ∠BIC is

A. 55°

B. 125°

C. 70°

D. 65°

Answer: Option B

Solution(By Examveda Team)

According to question,
Triangles mcq solution image
BI and CI are the angle bisector
∴ ∠CBI = 30° and ∠BCI = 25°
In ΔBIC
∠CBI + ∠BCI + ∠BIC = 180°
30° + 25° + ∠BIC = 180°
∠BIC = 180° - 55°
∴ ∠BIC = 125°

This Question Belongs to Arithmetic Ability >> Triangles

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