The congruent circles with centres Oand O' intersect at two points A and B. Then, `angleAOB=angleAO'B`.
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Two congruent circles means that their radii are equal. Join AB, OA, OB, O'A and BO'. In `DeltaAOB and DeltaAO'B`, OA=AO' [boht circles have same radius] OB=BO' [both circles have same radius] and AB=AB [common chord] `:. DeltaAOB cong DeltaAO'B ` [by SSS congruence rule] `rArr angleAOB=angleAO'B` [by CPCT]
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