Angle x and angle 38° are vertical angles. Vertical angles are opposite angles (non-adjacent) which are formed by two intersecting lines. Vertical angles are congruent. That means x is equal to 38°.
Angle y and angle 38° are supplementary angles. Supplementary angles are adjacent angles which add up to 180°. That means: y + 38° = 180° y = 180° - 38° y = 142°