# A geometry problem by Vicky Vignesh

Geometry Level 3

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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