OQ is a diagonal of quadrilateral NOPQ. If mZNOQ=(9y - 47)", mZPQO =(y + 73), NO = 5x + 12, and PQ = 7x - 8, find the values of x and y that make NOPQ a parallelogram!
A. X = 10, y = 15
B. X = 10, y = 12
C. X = 2, y = 15
D. X = 2, y = 12

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c