Quadrilateral jklm has side lengths of jk = 2y + 3, kl = 8x – 10, lm = 5y – 6, and jm = 3x + 20. find the values of x and y that make quadrilateral jklm a parallelogram.

a. x = 6, y = 6
b. x = 6, y = 3
c. x = 13, y = 3
d. x = 2, y = 1

 The correct option is (B) x = 6, y = 3.

Step-by-step explanation:  Given that the lengths of the sides of quadrilateral JKLM area s follows:

We are to find the values of  'x' and 'y' that make quadrilateral JKLM a parallelogram.

We know that the opposite sides of a PARALLELOGRAM are congruent, so their lengths are equal.

That is, JK = LM  and  KL = JM.

We have

and

Therefore, the values of 'x' and 'y' are

x = 6  y = 3.

Thus, option (B) is correct.