Find the general solution, in degrees, of the equation
$$2 \sin \left( 3 x + 45 ^ { \circ } \right) = 1$$
Use your general solution to find the solution of \(2 \sin \left( 3 x + 45 ^ { \circ } \right) = 1\) that is closest to \(200 ^ { \circ }\). [0pt]
[1 mark]