Only for Geometry diehards

Geometry Level 3

In \(\triangle ABQ\), \(X\) is a point on \(BA\) produced. Let \(C\) be a point on \(BQ\) such that \(AQ\) bisects \(\angle XAC\). If \(BC=12\), \(AC=9\) and \(AB=15\), find the value of \(CQ+BQ\).

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