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In cyclic quadrilateral ABCD, ∠DAC = 27°; ∠DBA = 50° and ∠ADB = 33°. Calculate : ∠CAB. - Mathematics

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Question

In cyclic quadrilateral ABCD, ∠DAC = 27°; ∠DBA = 50° and ∠ADB = 33°. Calculate : ∠CAB.

Sum

Solution


∠DAB + ∠DCB = 180°

(Pair of opposite angles in a cyclic quadrilateral are supplementary)

`=>` 27° + ∠CAB + 83° = 180°

`=>` ∠CAB = 180° – 110° = 70°

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Chapter 17: Circles - Exercise 17 (A) [Page 259]

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Selina Mathematics [English] Class 10 ICSE
Chapter 17 Circles
Exercise 17 (A) | Q 16.3 | Page 259
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