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Question
ABCDE is a cyclic pentagon with centre of its circumcircle at point O such that AB = BC = CD and angle ABC=120°.
Calculate: ∠ BED.
Solution
In cyclic quadrilateral BCDE,
∠ BED + ∠ BCD = 180°
⇒ ∠ BED + 120° = 180°
∴ ∠ BED = 60°
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