Three sides of a quadrilateral are $$a = 4\sqrt{3}, b = 9$$ and $$c =\sqrt{3}$$. The sides $$𝑎$$ and $$𝑏$$ enclose an angle of $$30^{\circ}$$, and the sides $$𝑏$$ and $$𝑐$$ enclose an angle of $$90^{\circ}$$. If the acute angle between the diagonals is $$x^{\circ}$$, what is the value of $$𝑥$$?