How to measure contact angle of a deforming and moving object ?

Hi
I need to measure contact angle of a deforming object (say, a liquid drop), which is not fixed on the surface and the angle changes with time. Also the length of base of the object is changing. So how I can get the dynamic contact angle for every frame of my video ?
I am attaching a drawing of my problem to explain it more clearly. 
Thanks in advance.

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