You Do Need power plug adapter while traveling from Nigeria to Turkmenistan.

Here is Why You Need An Adapter

The outlet and plug type used in Turkmenistan are C and F and in Nigeria are D and G. This is how they look like.

Nigeria

In Nigeria, outlets of type D and G are in use.

Type D

Type G

Turkmenistan

In Turkmenistan, outlets of type C and F are in use.

Type C

Type F