If two sides of a triangle and the included angle are given by \(a=(1+\sqrt{3})cm\), \(b=2cm\), \(C=60^{\circ}\), find the other two angles and the third side.

If the other two angles are \(x^{\circ}\) and \(y^{\circ}\) and the side is \(z cm\), put your answer as \(x+y+z^2\).

This problem is part of the set Trigonometry.

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