The measure of angle x and y are 66 and 96 degrees respectively.
The measure of a straight angle is 180 degrees. Therefore,
114° + y degrees = 180°
By solving this we get,
y degrees = 180° - 114°
y degrees = 66°
Now as we know, the sum of all the angles of a quadrilateral is 360 degrees. From this we get,
x° + y° + 123° + 75° = 360°
Substituting the value of y,
x° + 66° + 123° + 75° = 360°
x° = 360° - 264°
x° = 96°
Therefore x° = 96° and y° = 66°.