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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

उत्तर

In cyclic quadrilateral BCDE,

∠ BED +  ∠ BCD = 180°

⇒ ∠ BED + 120°  =  180°

∴ ∠  BED =  60°

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पाठ 18: Tangents and Intersecting Chords - Exercise 18 (C) [पृष्ठ २८६]

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सेलिना Mathematics [English] Class 10 ICSE
पाठ 18 Tangents and Intersecting Chords
Exercise 18 (C) | Q 19.2 | पृष्ठ २८६

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