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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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प्रश्न

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

उत्तर

∠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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अध्याय 15: Circles - Exercise 15.4 [पृष्ठ ७२]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 15 Circles
Exercise 15.4 | Q 3.01 | पृष्ठ ७२

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