# INMO - 2001

Geometry Level pending

Let $$\Delta ABC$$ have $$D$$ as the mid-point of side $$BC$$. Suppose $$\angle DAB = \angle BCA$$ & $$\angle DAC = 15^\circ$$. If $$O$$ is the circumcentre of $$\Delta ADC$$, find $$\angle AOD$$ in degrees.

×