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,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°
Related Questions on Triangles
If ABC and PQR are similar triangles in which ∠A = 47° and ∠Q = 83°, then ∠C is:
A. 50°
B. 70°
C. 60°
D. 80°
In the following figure which of the following statements is true?
A. AB = BD
B. AC = CD
C. BC + CD
D. AD < Cd
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