Construction Steps
Draw a circle with center A through point B
Construct another circle with center B through point A
Intersect the two circles in order to get the vertices C and D.
Construct a new circle with center C through point A.
Intersect the new circle with the first one in order to get vertex E.
Construct a new circle with center D through point A.
Intersect the new circle with the first one in order to get vertex F.
Construct a new circle with center E through point A.
Intersect the new circle with the first one in order to get vertex G.
Draw hexagon FGECBD.
Create the angles of the hexagon.
Perform the drag test to check if your construction is correct.