Step 1 :Given the measures of two angles and one side of a triangle, namely $A$, $C$, and $c$ respectively, we need to identify the type of triangle information given and the appropriate trigonometric law to use for solving the triangle.
Step 2 :The given information corresponds to the ASA (Angle-Side-Angle) configuration, as we have two angles and the side between them.
Step 3 :Since we have the ASA configuration, we can use the Law of Sines to solve the triangle.
Step 4 :Final Answer: \(\boxed{\text{(a) ASA}}\)
Step 5 :Final Answer: \(\boxed{\text{(b) Law of Sines}}\)