Final answer:
The measure of Angle x is 38 degrees.
Step-by-step explanation:
In geometry, an angle is formed by two rays that share a common endpoint, called the vertex. Angles are measured in degrees (°) or radians (rad) and are used to describe the amount of rotation between the two rays.
Supplementary angles are a pair of angles that add up to 180 degrees. In this case, Angle y measures 142 degrees. To find the measure of Angle x, we subtract the measure of Angle y from 180 degrees:
Angle x = 180 degrees - Angle y = 180 degrees - 142 degrees = 38 degrees.