If the conjugate of $(x + iy)(1 - 2i)$ is $1 + i$, then

Question

$x - iy = \frac{1 + i}{1 - 2i}$

$x + iy = \frac{1 - i}{1 - 2i}$

$x = \frac{1}{5}$

$x = -\frac{1}{5}$

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