# CAT 2017 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Geometry Questions | Question 18

CAT Previous Year Papers is the best place to start your CAT Preparation if you have not done already. They give you a hang of the type of questions that you can expect in the upcoming CAT Question Paper. Practice CAT previous year paperthoroughly with 2IIM wherein we give you detailed text and video solutions for the question. Kickstart your CAT Preparation Online right now with this wonderful question from the topic of Geometry. Make sure you give it a try by yourself before moving on to the solutions.
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Question 18 : ABCD is a quadrilateral inscribed in a circle with centre O. If ∠COD = 120° and ∠BAC = 30°, then the value of ∠BCD (in degrees) is [TITA]

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##### Method of solving this CAT Question from Geometry

ABCD is a quadrilateral inscribed in a circle with centre O.
∠COD = 120°
∠BAC = 30°
∠BOC = 60° (twice that of ∠BAC)
BOD is a straight line (60 + 120) = 180° or BD is the diameter of the circle
∠BOD = 180°
We have to find the value of ∠BCD
∠BCD is an angle in a semicircle = 90°

The question is "ABCD is a quadrilateral inscribed in a circle with centre O. If ∠COD = 120° and ∠BAC = 30°, then the value of ∠BCD (in degrees) is [TITA]"

##### Hence, the answer is 90

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