plz answer the question step by step

Answer: x = 59°, y = 114°.
Step-by-step explanation:
The sum of the opposite angles of a quadrilateral in a circle is 180°.
y = 180° - 121° = 59°
The two angles being adjacent makes a total angle of 180° on the straight line.
x = 180° - (180°-114°) = 180° - 66° = 114°