Areas in a Quadrilateral

Geometry Level 5

On triangle \(ABC\), points \(D\) and \(E\) are chosen on line segments \(AB\) and \(AC\), respectively. The lines \(CD\) and \(BE \) intersect at \(K \), within triangle \(ABC\). If \( [DKB]=56, [BKC]=84\) and \( [KEC]=90\), what is \([ADKE]\)?

Note: \([PQRS]\) denotes the area of the figure \(PQRS\).

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