ABC do 3

Geometry Level 4

In a cyclic quadrilateral $$ABCD$$ let the diagonal $$AC$$ and $$BD$$ intersect at $$X$$. Let the circumcircle of triangle $$AXD$$ and $$BXC$$ intersect again at $$Y$$. If $$X$$ is the incenter of triangle $$ABY$$, find the measure of $$\angle CAD$$ in degrees.

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