The first step is to solve for sinθ by factoring the equation.
Then, recognize that sinθ=4 is an extraneous solution and use the inverse sine.
Inverse sine will give negative answer when the angle is in the 3rd and 4th Quadrant.
So for the 3rd Quadrant answer, 180-(-23.58)=203.58
And the 4th Quadrant answer, 360+(-23.58)=336.42
So the answer is A.