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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