If z1 and z2 are two complex numbers such that z1=z2 and arg(z1) + arg(z2) = π, then show that z1=-z2¯.

If z1 and z2 are two complex numbers such that z1=z2 and arg(z1) + arg

1.	If z1 and z2 are two complex numbers such that z1=z2 and arg(z1) + arg(z2) = π, then show that z1=-z2¯.
Answer» If z₁ and z₂ are two complex numbers such that $\|z_{1}\| = \|z_{2}\|$ and arg(z₁) + arg(z₂) = $π$ , then show that $z_{1} = - \bar{z_{2}}$ .