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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

योग

उत्तर

In ΔDAB by angle sum property
∠ADB + ∠DAB + ∠ABD = 180°
⇒ 32° + ∠DAB + 50° = 180°
⇒ ∠DAB = 180° - 32° - 50° = 98°

Now,

∠CAB + ∠DAB = 180°  ...(Opposite angles of cyclic quadrilateral)

⇒ 98° + x = 180°

⇒ x = 180° - 98° = 82° 

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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 3.09 | पृष्ठ ७२

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