Question 11

11.1 Complete: Opposite angles of a cyclic quadrilateral … (1)

11.2 In the figure, ABCD is a cyclic quadrilateral. AB ║ DC in circle with centre O. BC and AD produced meet at M. D₃ = 𝑥

11.2.1 Show that MC = MD. (5)

11.2.2 If D₃ = 𝑥, determine the value of M̂ , in terms of 𝑥. (2)

11.2.3 Hence, show that BODM is a cyclic quadrilateral. (3)

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