I understood that when plotting the feasible area there had to be an intersection with more than two lines.
In the case of:
$$\text{Max } z=2x_1+x_2$$ S.T $$ \begin{cases} 4x_1+3x_2\leq 12\\ 4x_1+x_2 \leq 8\\ 4x_1-x_2 \leq 8\\ x_1,x_2\geq 0 \end{cases} $$
The plot is which mean that there is almost intersection of the there functions, is it still degeneracy?
Edit: yes this LP admits degenerate solutions, e.g., $(x_1, x_2)=(2,0)$, since the constraints $4x_1+x_2 \leq 8, 4 x_1-x_2 \leq 8, x_2 \geq 0$ are all active at this point, and $3$ active constraints in a 2d space implies degeneracy.