# 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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