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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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.