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in Circles by (56.3k points)

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

1 Answer

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Best answer

∠AOC = 135° (Given) 

From figure, ∠AOC + ∠BOC = 180° [Linear pair of angles]

135° +∠BOC = 180° 

or ∠BOC = 180° − 135° 

or ∠BOC = 45° 

Again, by degree measure theorem 

∠BOC = 2∠CPB

45° = 2x

x = 45°/2

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