You Do Need power plug adapter while traveling from Libya to Syria.

Here is Why You Need An Adapter

The outlet and plug type used in Syria are C, E and L and in Libya are C and L. This is how they look like.

Libya

In Libya, outlets of type C and L are in use.

Type C

Type L

Syria

In Syria, outlets of type C, E and L are in use.

Type C

Type E

Type L