If $\sin(A - B) = \frac{1}{2}$ and $\cos(A + B) = \frac{1}{2}$, where $0^\circ B$, what is the value of angle $A$?
Options:
- A: $45^\circ$
- B: $60^\circ$
- C: $30^\circ$
- D: $15^\circ$
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