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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

We have
∠ DBO = 40° 
∠ DBC = 90°
⇒ ∠ DBO + ∠OBC = 90°
⇒ 40° + ∠OBC = 90°
⇒ ∠ OBC = 90° - 40° = 50°
By degree measure theorem
ÐAOC = 2ÐOBC
⇒ x = 2´ 50° = 100°

 

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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 3.07 | पृष्ठ ७२

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