Final answer:
Angle y is a vertical angle to Angle x and since vertical angles are congruent, Angle y also measures 157 degrees.
Step-by-step explanation:
The question involves finding the measure of Angle y given that Angle x and the Angle y are vertical angles and Angle x is 157 degrees. Vertical angles are pairs of opposite angles made by two intersecting lines, and they are always congruent (equal in measure).
Therefore, if Angle x measures 157 degrees, Angle y, being its vertical angle, will also measure the same. So, the measure of Angle y is 157 degrees.