Let $ AD$ be the median of a triangle $ ABC.$ Suppose that $ \angle ADB=45^{\circ}$ and $ \angle ACB=30^{\circ}$. Compute $ \angle BAD.$
Source: Ukraine 2005 grade 8
Tags: geometry proposed, geometry
Let $ AD$ be the median of a triangle $ ABC.$ Suppose that $ \angle ADB=45^{\circ}$ and $ \angle ACB=30^{\circ}$. Compute $ \angle BAD.$