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Consider a triangle $$A B C$$ like the one below. Suppose that $$C = 99 ^ { \circ } , a = 45$$ , and $$b = 16$$ . (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
$$c= 50.1\\ \angle B= 18.4\degree \\ \angle A= 62.6\degree$$