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