The calculated measure of the angle x is 79 degrees
How to determine the measure of the angle x
From the question, we have the following parameters that can be used in our computation:
The lines and the transversals
Given that the lines A and B are parallel lines, we have:
Angle between A and C = 110 - 52
Angle AC = 58
This also means that
Angle ADC = 52
Angle AE = 49
The sum of angles in a triangle is 180
So, we have
x = 180 - 52 - 49
x = 79
Hence, the measure of the angle x is 79 degrees