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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Chord AB and chord CD of a circle with centre 0 are congruent. If m(arc AB) = 120°, then find the m(arc CD). - Geometry Mathematics 2

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प्रश्न

Chord AB and chord CD of a circle with centre 0 are congruent. If m(arc AB) = 120°, then find the m(arc CD).

बेरीज
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उत्तर

Given, Chord AB = Chord CD

m(arc AB) = 120°

We know that,

arc AB ≅ arc CD   ......[Corresponding arcs of congruent chord of a circle are congruent]

∴ m(arc AB) = m(arc CD)

120° = m(arc CD)

∴ m(arc CD) = 120°

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