If arg (z) < 0, arg (-z) – arg (z) = ?

If arg(z)<0, then arg(−z)−arg(z)=

1). π
2). −π
3). -π/2
4). π/2

Answer : 
A
Solution : 
Let arg(z) =-0 where θ>0 ltgtgt 
If arg(z)<0, then arg(−z)−arg(z)= ?

Graphically 

evident from the figure that :
∴arg(−z)−arg(z)=π−θ−(−θ)=π
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