CAT 2017 Geometry & Mensuration Question (Medium)

Question

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

Accepted Answer

Step 1 ABCD is a cyclic quadrilateral inscribed in a circle . Given - COD 120 central angle - BAC 30 angle at the circumference Step 2 We use the property of cyclic quadrilaterals Opposite angles of a cyclic quadrilateral sum to 180 . Here, BAC and BCD are opposite angles. So BAC BCD 180 30 BCD 180

CAT 2017

Quantitative

Geometry & Mensuration

Medium

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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