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

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प्रश्न

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

योग

उत्तर


∠ACB = ∠ADB = 33°

∠ACD = ∠ABD = 50°

(Angles subtended by the same chord on the circle are equal)

∴ ∠DCB = ∠ACD + ∠ACB

= 50° + 33°

= 83°

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अध्याय 17: Circles - Exercise 17 (A) [पृष्ठ २५९]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 17 Circles
Exercise 17 (A) | Q 16.2 | पृष्ठ २५९

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