Sketch the loci arg(z + 4 + 2i) = 5/6 and |z - 5i| = 4 on

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Sketch the loci arg(z + 4 + 2i) = 5π/6 and |z - 5i| = 4 on an Argand diagram. Determine whether or not there is a complex number, z, that satisfies both loci.

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