Not What It Seems

Geometry Level 3

2 circles intersect at \(A\) and \(B\).
The tangent to the first circle at \(A\) intersects the second circle at \(C\).
The tangent to the second circle at \(A\) intersects the first circle at \(D\).
If \( B, C, D \) lie on a line, what can we say about \( \angle DAC \)?

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