<image>As shown in the figure, $$D$$ is a point on the hypotenuse $$BC$$ of the right triangle $$\triangle ABC$$, and $$AC = \sqrt{3} DC$$.
 
$$(1)$$ If $$∠DAC = \dfrac{π}{6}$$, find the measure of angle $$B$$;
$$(2)$$ If $$BD = 2DC$$ and $$AD = 2$$, find the length of $$DC$$.