A contact angle measurement involves three surface energies: solid-gas, liquid-solid and liquid-gas which are linked via the Young-Dupre equation https://en.wikipedia.org/wiki/Wetting#Simplification_to_planar_geometry,_Young's_relation
So you need to know two of these surface energies in order to measure the third. Since the liquid-solid energy usually is not accessible via other methods, you usually take the liquid-gas and solid-gas values from other measurements.
For the solid-gas surface energy, you could use AFM or a Newton Ring Interferometer. Both options are e.g. described in the textbook
Article Physics and Chemistry of Interfaces. By Hans-Jürgen Butt, Ka...
Thank you for your answer. I want to calculate the surface energy of the blanket by using 3 different solvents. I already measured the contact angle by using contact angle measurement. There are different modules to do this calculation but I want to know which one gives the exact result ...AFM can not give this information but I don't know about Newton Ring Interferometer
In principle, that would not be sufficient. You could use an approximation suggest by Girifalco/Good/Fowkes (I don't have the reference available right now) who approximated the ESL surface energy by the ESL=EGS+ELS-2sqrt(EGS*ELS) which would reduce the Young-Dupre-equation by one variable, so you would only have to know the liquid-gas surface energy ELS. Of course, this needs to be reported accordingly in an eventual publication.
Thank you, Jürgen. Currently, I use these methods to calculate the surface energy but I obtained different values (dispersive and polar) when I changed the method. So I don't know which one is good.