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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

Short Note

Solution

We have

∠AOB = 60°

By degree measure theorem: reflex ∠AOB = 2∠OAC

60° = 2∠OAC

∠OAC = `60^circ/2 = 30^circ`    [Angles opposite to equal radii]

Or 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 3.06 | Page 72

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