मराठी

In the given figure, AB is a diameter of the circle. Chord ED is parallel to AB and ∠EAB = 63°. Calculate : ∠BCD.

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प्रश्न

In the given figure, AB is a diameter of the circle. Chord ED is parallel to AB and ∠EAB = 63°. Calculate : ∠BCD. 

बेरीज
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उत्तर


AB || ED

Therefore ∠DEB = EBA = 27°  (Alternate angles)

Therefore BCDE is a cyclic quadrilateral

Therefore ∠DEB + ∠BCD = 180° 

[Pair of opposite angles in a cyclic quadrilateral are supplementary]

Therefore ∠BCD = 180° – 27° = 153° 

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