Final answer:
The question appears to deal with physics and angles, suggesting a scattering problem where angles influence other variables such as velocities or positions. However, the incomplete context provided makes it impossible to confidently determine a correct answer.
Step-by-step explanation:
The question is asking to solve for the measure of an angle, given a series of angles and related physics equations. From the information provided, it seems that one of the angles in question, possibly denoted as Z2 or β2, is calculated using the inverse tangent function, giving an angle of approximately 312 degrees. The actual question posed seems incomplete or out of context in relation to the given information, making it challenging to provide a direct answer.
However, if we consider the given equations and typical physics problems involving angles and scattering, we can infer that these angles are part of a more extensive setup where they influence other variables, such as velocities or positions in a scattering problem. The equations provided resemble those used in physics for momentum calculations or scattering problems, applying trigonometric functions like sine. Solving such a problem would generally involve identifying known values and applying them to determine the unknown quantities.
Without additional context or a complete question, it is not possible to confidently determine which answer choice is correct.