Question: How do I solve a system of complex equations

Hello everyone, why is maple not able to solve this easy system of equations?

eq1 := 1 = abs(1/(I*Pi*z*(1+I*Pi*a)));
eq2 := -(5/9)*Pi = argument(1/(I*Pi*z*(1+I*Pi*a)));

`assuming`([fsolve({eq1, eq2}, {a, z})], [a::real, z::real]);

 Thanks for helping me! Fabian

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