(unity2020.3) weird behavior by transform.localEulerAngles (i want to get angle exactly in the inspector)

i found some solution (if its greater than 180, subtract 360 from it) but it did not work

check out this video first value is euler angle second value is local euler angle

       (Debug.Log(Cam.transform.eulerAngles.x.ToString("f0")         
       + "="  
       + Cam.transform.localEulerAngles.x.ToString("f0"));    

inspector angle and euler angle goes up together upto 90 then suddenly euler angle goes down, and not even negative value so cant even differentiate between if 30' localEulerAngles is from first quadrant or second

and when inspector angle is 180 and above, euler angle becomes 360 ?

check out this graph

so obviously when inspector angle is 179, localEulerAngles is 1, so substracting 360 from it will not give accurate answer

i just want to know, WHY????????????? why would unity do something so horrible, i dont even know how quaternarenion works and now this.

please code me some maths that would help me get angle exactly like in inspector