CAT Quantitative Aptitude Questions | Geometry Questions for CAT - Triangles

CAT Questions | CAT Geometry Questions | Triangles

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 = 60ยฐ and B = 70ยฐ. The incenter of this triangle is at I. Find angle BIC.

  1. 90ยฐ
  2. 130ยฐ
  3. 80ยฐ
  4. 120ยฐ


Best CAT Coaching in Chennai


CAT Coaching in Chennai - CAT 2022
Limited Seats Available - Register Now!


Explanatory Answer

Method of solving this CAT Question from Triangles: What is an incenter? Clue - It has something to do with angle bisectors.
CAT Question - Geometry - Triangles

A + B + C = 180 in a triangle
Hence C = 180 โ€“ 130 = 50ยฐ
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 โ€“ (35 + 25) = 120ยฐ

The question is "Find angle BIC."

Hence, the answer is 120ยฐ.

Choice D is the correct answer.

ย 


CAT Preparation Online | CAT Geometry questions Videos On YouTube


Other useful sources for Geometry Question | Geometry Triangles Circles Quadrilaterals Sample Questions


CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com