Let $$Z$$ and $$W$$ be complex numbers such that $$|Z| = |W|$$, and $$\arg Z$$ denotes the principal argument of $$Z$$. Statement 1: If $$\arg Z + \arg W = \pi$$, then $$Z = -\bar{W}$$. Statement 2: $$|Z| = |W|$$, implies $$\arg Z - \arg \bar{W} = \pi$$.

A

Statement 1 is true, Statement 2 is false.

B

Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.

C

Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.

D

Statement 1 is false, Statement 2 is true.