This article explains how to rotate the screen on a Chromebook in two ways: one on the fly when you need it and one in the Settings app. It also includes information about rotating the screen on a secondary device, if you're using one.
How to Fix Your Chromebook's Rotation Problem
The quickest and easiest way to rotate your screen is to hold CTRL+Shift and the Refresh key on your keyboard. The Refresh key looks like a circle with an arrow on it, just above the numbers 3 and 4 on your keyboard. Each time you do this, your screen will rotate 90 degrees clockwise. The first time you press that key combination, you will get a pop-up asking if you want to rotate your screen. Click Continue.
If you prefer to set one rotation that you always want to use, you can change the rotation of your screen in the settings.
Click on the clock and select Settings.