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In the following figure, O is the centre of the circle. Find the values of a, b, c and d - Mathematics

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Question

In the following figure, O is the centre of the circle. Find the values of a, b, c and d

Sum

Solution


∠AOB = 2∠AOB

= 2 × 50°

= 100°

(Angle at the centre is double the angle at the circumference subtended by the same chord)

Also, OA = OB

`=>` ∠OBA = ∠OAB = C

∴ `c = (180^circ - 100^circ)/2 = 40^circ`

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Chapter 17: Circles - Exercise 17 (A) [Page 258]

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Selina Mathematics [English] Class 10 ICSE
Chapter 17 Circles
Exercise 17 (A) | Q 5.3 | Page 258
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