$\"\"$

Since the quadrilateral is a parallelogram, both pairs of opposite angles are congruent. $\"\"$ (Opposite angles of $\"\"$ are congruent)

$\"\"$ (Definition of congruent angles)

$\"\"$ (Add 17 to each side)

$\"\"$ (Subtract 2x from each side)

The value of x is 41. $\"\"$ $\"\"$ (Opposite angles of $\"\"$ are congruent)

$\"\"$ (Definition of congruent angles)

$\"\"$ (Add 6 to each side)

$\"\"$ (Subtract y from each side)

$\"\"$ (Divide each side by 4)

The value of y is 16. $\"\"$

The values of x and y are 41 and 16 respectively.