How can determine if a angle is betwen two angles?

Question

I have the following information about the problem

• Start point
• Size (angle between 0 and 360)
• End point (start point + size)
• Tarjet angle.

The questions is how can determine if a tarjet angle is between start and end point

Example

\begin{bmatrix} case&start&end&size\\ a&350&6&16\\ b&0&90&90\\ c&350&100&55\\ d&0&0&0\\ e&0&0&360\\ \end{bmatrix}

Case A

• 270 outside
• 351 inside

Case B

• 360 outside
• 45 inside

Case C

• 102 outside
• 1 inside

Case D

• All are outside

Case D

• All are inside

Thanks

Answer 1

Compute the difference: "tarjet" angle $-$ start angle. If negative, repeatedly add 360° until the result is positive. Check if result is less than size: if so, it's inside.