Vidyalelo
Aptitude · Q103

Triangles

Competitive Exams · Aptitude · question 103

Q103

If I be the incentre of ΔABC and ∠B = 70° and ∠C = 50°, then the magnitude of ∠BIC is

A.
130°
B.
60°
C.
120°
Answer
D.
105°

Answer: Option C

Solution

Answer: Option C
Solution:
According to question,
Triangles mcq solution image
As we know that
   ∠A + ∠B + ∠C = 180°
∴ ∠A = 180° -70° - 50°
   ∠A = 60°
∴ ∠BIC = 90° + × 60°
   ∠BIC = 120°