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

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

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∠CBD = 65° (given) 

From figure: 

∠ABC + ∠CBD = 180° [ Linear pair of angles] 

∠ABC + 65° = 180° 

∠ABC = 180° − 65° = 115° 

Again, reflex ∠AOC = 2∠ABC [Degree measure theorem] 

x = 2(115°) = 230° 

The value of x is 230°.

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