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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°