Step-by-step explanation:
The only face of the cube that has all the points C, F and G is the face CFGD on the right facing outwards.
Hence point D must be coplanar as it is on the same face.
Here is the answer to your problem
There are 13 angles.
We know that

and

(11 angles)
1.

(9 angles)
2.

(8 angles)
3.

(7 angles)
4.

(6 angles)
5.

(5 angles)
6.

(4 angles)
7.

so we have a parallelogram.

(3 angles)

(2 angles)
8.

(1 angle)
9.