Since the quadrilateral is a parallelogram, both pairs of opposite sides are congruent. (Opposite sides of
are congruent)
(Definition of congruent segments)
(Add 18 to each side)
(Subtract 2x from each side)
(Divide each side by 3)
The value of x is 6. (Opposite sides of
are congruent)
(Definition of congruent angles)
(Add y to each side)
(Divide each side by 4)
The value of y is 24.
The values of x and y are 6 and 24 respectively.