From your News Feed, click Pages in the left menu.
Go to your desired Page, then click Settings in the left column.
Click Page Roles in the left column.
Type a name or email in the box and select the person from the list that appears.
Note: It can be hard to find the correct person with a given name on Facebook. Add someone as a friend first to make them appear at the top of the dropdown results.
Ensure that Editor is selected from the adjacent dropdown menu.