A hexagon can be divided into 4 Triangles, making the sum of all angles equal to 720 Degrees. Since, a hexagon has 6 sides, the angle each side makes to the other keeping in mind the total sum is 720 Degrees would be 720/6 = 120 Degrees. So, the angle formed between two adjacent sides will be 120 Degrees. Around the centre of a Hexagon, one can draw a circle which makes the angle at the centre at 360 Degrees, again since there are six equal sides, 360/6 = 60 Degrees. So the angle formed at the centre by joining two adjacent vertices to the centre is 60 Degrees.