Suggest two methods for determining which layer in
anextraction is the aqueous layer and which layer is the
organiclayer.

The two methods for determining, which layer in an extraction is the aqueous layer and which layer is the organic layer. are as follow:

Method of known densities of the solvents used in both of layers.Method of mixing water to check homogeneity of the mixture of two layers.

Explanation:

Method of known densities of the solvents can be used to differentiate between the aqueous layer and organic layer. With the help of densities of solvents in each layer, you can accomplish your goal.The method of mixing water is also good way of differentiating the two layers of water and organic material. As we know the rule, "Like dissolve like" so by adding water in small sample of given material, you can simply if the mixture is homogeneous then it is aqueous layer. If the mixture is non-homogeneous then that layer is of organic material.

Solubility would be your answer.