If we highlight relevant parts of the figure, we can make out a transversal that cuts two parallel lines.
According to the Corresponding Angles Theorem, if two parallel lines are cut by a transversal, then the pair of corresponding angles are congruent.
x^(^(∘))=118^(∘).
When we know the measure of x^(∘), we can use the Exterior Angle Theorem to find y^(∘). The theorem says that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.
y^(∘)+22^(∘)=118^(∘)
By solving this equation we can find the measure of y^(∘).