In a $\Delta ABC, \; \frac{a}{b} = 2 + \sqrt{3}$ and $\angle{C} = 60^{\circ}$. Then the ordered pair $(\angle{A}, \angle{B})$ is equal to :

Question

( A ) $(15^{\circ},105^{\circ})$
( B ) $(105^{\circ}, 15^{\circ})$
( C ) $(45^{\circ}, 75^{\circ})$
( D ) $(75^{\circ}, 45^{\circ})$