#17 Measure your Calibre

Geometry Level 4

Let \(ABC\) be a triangle and \(D\) be the midpoint of \(BC\). Suppose the angle bisector of \(\angle ADC\) is tangent to the circumcircle of triangle \(ABD\) at \(D\).

Find the measure of angle \(A\) in degrees.


Other problems: Check your Calibre

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