Question

For what values of x and y is quadrilateral ABCD a parallelogram

Answer 1

Answer:

Option (A)

Step-by-step explanation:

By the property of a parallelogram,

Opposite sides of a parallelogram are equal and parallel to each other.

AD = BC and DC = AB

9x - 40 = 8x - 34

9x - 8x = 40 - 34

x = 6

4y + 20 = 6x - 4

4y - 6x = -24

2y - 3x = -12

Now we will substitute the value of x,

2y = 3x - 12

2y = 3(6) - 12

2y = 6

y = 3

Therefore, Option (A) will be the correct option.