We can use the Law of Sines to solve for angle C, as we know that

sin(A)/a = sin(C)/c. Plug the known values for A, a, and c in, and solve.

From there, we will have two out of the three angles, and we can solve for angle B as we know that the sum of all three angles in a triangle is 180 degrees. It should be fairly straightforward to solve for side b, as we can use the Law of Sines again.