Since the forces are in equilibrium, we can use the cosine rule and Lami's theorem to find the angles between the forces.

Using the cosine rule for the triangle formed by the forces:

\(10 \cos \alpha = 8 \quad \text{or} \quad 10 \cos \beta = 6\)

Solving for \(\alpha\) and \(\beta\):

\(\alpha = 36.9^{\circ} \quad \text{or} \quad \beta = 53.1^{\circ}\)

Using Lami's theorem:

\(\frac{10}{\sin 90^{\circ}} = \frac{6}{\sin \gamma} = \frac{8}{\sin \delta}\)

Solving for \(\gamma\) and \(\delta\):

\(\gamma = 143.1^{\circ}\) (angle between 8 N and 10 N)

\(\delta = 126.9^{\circ}\) (angle between 6 N and 10 N)