# A geometry problem by Saikat Sengupta

Geometry Level 4

Let $$ABC$$ be a triangle and $$D$$ be the midpoint of $$BC$$. Suppose the angle bisector of $$\angle ADC$$ is the tangent to the circumcircle of triangle $$ABD$$ at $$D$$, find the measure of angle $$A$$ in degrees.

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