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If O is the Centre of the Circle, Find the Value of X in the Following Figure - Mathematics

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Question

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

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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Chapter 15: Circles - Exercise 15.4 [Page 72]

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RD Sharma Mathematics [English] Class 9
Chapter 15 Circles
Exercise 15.4 | Q 3.1 | Page 72

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