You Do Need power plug adapter while traveling from Anguilla to Greenland.

Here is Why You Need An Adapter

The outlet and plug type used in Greenland are C, E, F and K and in Anguilla are A and B. This is how they look like.

Anguilla

In Anguilla, outlets of type A and B are in use.

Type A

Type B

Greenland

In Greenland, outlets of type C, E, F and K are in use.

Type C

Type E

Type F

Type K