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Examveda

Incentre of ΔABC is I. ∠ABC = 90° and ∠ACB = 70°. Then ∠BIC is

A. 115°

B. 100°

C. 110°

D. 105°

Answer: Option B

Solution(By Examveda Team)

∵ Sum of all angles of a triangle = 180°
So, ∠BAC = 180° - (90° + 70°) = 20°
Geometry mcq question image
So, ∠BIC = 90° + $$\frac{1}{2}$$∠A
∠BIC = 90° + $$\frac{1}{2}$$ × 20°
∠BIC = 100°

This Question Belongs to Arithmetic Ability >> Geometry

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