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Question
If O is the centre of the circle, find the value of x in the following figures.

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Solution

∠ABC = ∠ACD = 40° (Angle in the same segment)
In Δ PCD we have
∠CPD + ∠PCD + ∠PDC = 180°
40 ° + 110 ° + ∠PDC = 180°
∠PDC = 180° -150°
=30°
Hence X = 30 °
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