The key information that is given by the problem is that
1) The pie was cut into equal parts
2) There are 3 pieces left
3) The remaining 3 pieces form a 60 degree angle
From this information, we can conclude that each of the remaining 3 pieces has an angle of 20 degrees,
60° / 3 = 20°
Therefore, the angle of one pieces of pie is 20 degrees.