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The figure shows two circles which intersect at A and B. The centre of the smaller circle is O and lies on the circumference of the larger circle. Given that ∠APB = a°. Calculate, in terms of a°

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Question

The figure shows two circles which intersect at A and B. The centre of the smaller circle is O and lies on the circumference of the larger circle. Given that ∠APB = a°.

Calculate, in terms of a°, the value of : ∠ADB.

Give reasons for your answers clearly.

Sum
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Solution


Join AB.

∠ADB = ∠ACB = 180° – 2a° 

(Angle subtended by the same arc on the circle are equal)

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Chapter 17: Circles - EXERCISE 17 (B) [Page 266]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 17 Circles
EXERCISE 17 (B) | Q 14. (iii) | Page 266
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