Question

Find the values of x and y in the following parallelogram.

• A. x = 3
  y = 4
• B. x = 4
  y = 3
• C. x = 5
  y = 8
• D. x = 6
  y = 6

Answer 1

The correct option is B x = 4

y = 3
Since, the diagonals of a parallelogram bisect each other.
OA = OC
x + 8 = 16 – x
⇒ x + x = 16 – 8
⇒ 2x = 8
⇒ x = 4

Similarly, OB = OD
5y + 4 = 2y + 13
⇒ 3y = 9
⇒ y = 3

Hence, x = 4 and y = 3.