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Question
In the figure, ∠DBC = 58°. BD is a diameter of the circle. Calculate : ∠BEC
Solution
We know that the opposite angles of a cyclic quadrilateral are supplementary.
Thus, in cyclic quadrilateral BECD ,
∠ BEC + ∠ BDC = 180°
⇒ ∠ BEC + 32° = 180°
⇒ ∠ BEC = 180° - 32°
⇒ ∠ BEC = 148°
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