# Cunning Complex 4

Algebra Level 4

Let $$\ { z }_{ 1 } \ =10+6i$$ and $$\ { z }_{ 2 } \ =4+6i$$. And suppose $$z$$ is any complex number such that the arguement of $$\frac { z-{ z }_{ 1 } }{ z-{ z }_{ 2 } } =\frac { \pi }{ 4 }$$.

Find the value of $$\left| z-7-9i \right|$$.