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Example 4 - In figure, ABCD is a cyclic quadrilateral - Cyclic quadrilaterals

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Example 4 In figure , ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If DBC = 55 and BAC = 45 , find BCD. For segment DABCD DAC & DBC are in same segment, so they will be equal DAC = DBC = 55 Now, BAD = DAC + BAC = 55 + 45 = 100 Now, in cyclic quadrilateral ABCD BAD + BCD = 180 100 + BCD = 180 BCD = 180 100 BCD = 80

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.