मराठी

Abcde is a Cyclic Pentagon with Centre of Its Circumcircle at Point O Such that Ab = Bc = Cd and Angle Abc=120 - Mathematics

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प्रश्न

ABCDE is a cyclic pentagon with centre of its circumcircle at point O such that AB = BC = CD and angle ABC=120°.

Calculate: ∠ BED.

बेरीज
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उत्तर

In cyclic quadrilateral BCDE,

∠ BED +  ∠ BCD = 180°

⇒ ∠ BED + 120°  =  180°

∴ ∠  BED =  60°

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