The question is from the topic triangles. It discusses about incenter of a triangle. CAT Geometry questions are heavily tested in CAT exam. Make sure you master Geometry problems. Two angles of a triangle is given, we need to find out the angle made by incenter and vertices.
Question 20: Triangle ABC has angles A = 60° and B = 70°. The incenter of this triangle is at I. Find angle BIC.
A + B + C = 180 in a triangle
Hence C = 180 – 130 = 50°
Incenter is the meeting point of angle bisectors. BIC will form a triangle.
In this triangle B = 35, C = 25
Hence BIC or I = 180 – (35 + 25) = 120°
The question is "Find angle BIC."
Choice D is the correct answer.
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