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

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Solution
We have
∠ABD = 40°
∴ ∠ ACD = ∠ABD = 40°
In ΔPCD, By angle sum property
∠PCD + ∠CPO + ∠PDC = 180°
⇒ 40° +110° + x° = 180°
⇒ x° = 180° -150°
⇒x = 30°
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