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Question
If O is the centre of the circle, find the value of x in the following figure:
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Solution
∠AOC= 135°
∴∠AOC+ ∠BOC -180°
⇒ 135° + ∠BOC = 180°
⇒∠BOC = 180° -135° = 45°
By degree measures theorem
∠BOC = 2∠CDB
⇒ 45° = 2x
`⇒x=(45°)/2=22(1°)/2.`
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