In a class president election where five students are candidates, the number of votes received by the candidates A, B, C, D, E satisfy the relationship
$$A = B = 2C = 3D = 6E$$
When the election result is shown in a pie chart, what is the central angle in degrees of the sector corresponding to the candidate who received C votes?
A) 180
B) 60
C) 45
D) 90
E) 120