CAT Practice : Coordinate Geometry

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What is an incenter? Clue - It has something to do with angle bisectors!!


    Q.20: Triangle ABC has angles A = 60° and B = 70°. The incenter of this triangle is at I. Find angle BIC.
    1. 90°
    2. 130°
    3. 80°
    4. 120°


  • Correct Answer
    Choice (D).120°

Detailed Solution

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°

Correct Answer: 120°

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Geometry is probably the most vital topic as far as CAT preparation is concerned. Geometry sets the stage for Trigonometry, Cogeo and Mensuration as well.