A geometry problem by Vicky Vignesh

Geometry Level pending

Let \(D\) be the midpoint of \(BC\) of \(\Delta ABC\).

If the angle bisector of \(\angle ADC\) is tangent to the circumcircle of \(\Delta ABD\) at \(D\), find the value of \(\angle BAC\) in degrees.

\[\] Hint: Tangent of a circle.

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