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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 hav

∠CBD = 65°

∴∠ABC+∠CBD=180°

⇒ ∠ABC + 65° = 180°

⇒ ∠ABC = 180° - 65° = 115°

∴Reflex ∠AOC = 2∠ABC

⇒ x = 2´115°

⇒ x = 230°

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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 3.04 | Page 72

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