For $$\alpha  and  \beta$$ both being acute angles, it is given that $$\sin(\alpha + \beta) = 1, \cos(\alpha - \beta) = \frac{1}{2}$$. The values of $$\alpha  and  \beta$$ are:

A

$$75^\circ,15^\circ$$

B

$$60^\circ,30^\circ$$

C

$$45^\circ,15^\circ$$

D

$$75^\circ, 45^\circ$$