8 In this question you must show detailed reasoning.
The complex number \(- 4 + i \sqrt { 48 }\) is denoted by \(z\).
- Determine the cube roots of \(z\), giving the roots in exponential form.
The points which represent the cube roots of \(z\) are denoted by \(A , B\) and \(C\) and these form a triangle in an Argand diagram.
- Write down the angles that any lines of symmetry of triangle \(A B C\) make with the positive real axis, justifying your answer.