You Do Need power plug adapter while traveling from Cocos (Keeling) Islands to Western Sahara.

Here is Why You Need An Adapter

The outlet and plug type used in Western Sahara are C and E and in Cocos (Keeling) Islands is I. This is how they look like.

In Cocos (Keeling) Islands, outlets of type I are in use.

Type I

In Western Sahara, outlets of type C and E are in use.

Type C

Type E

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