As easy as ABC

Geometry Level 4

Suppose \(AD\) and \(BE\) are angle bisectors of a triangle \(ABC,\) and \(I\) is their point of intersection. Suppose \(I\) lies on the circumscribed circle of \(ECD,\) and \(\angle CAB=47^\circ.\) What is the measure (in degrees) of \(\angle ABC\)?

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