If you know that angle AGD is a right angle, in other words, 90 degrees, and that CGE is 23 degrees, those will be your main points to solve the problem.
The 23 degrees has a vertical angle. Its the angle inside of AGD next to the x angle. So, that would mean that if you take 90 degrees and subtract that from 23 degrees, you get the value of the x angle. 90-23=67. So, 67 is the answer.