Question

In the given parallelogram, if XV = 27 - 2x and VZ = 3x + 2, find the values of VZ and XZ.

a) VZ = 29 - 2x, XZ = 27 - x
b) VZ = 27 - x, XZ = 3x + 2
c) VZ = 3x + 2, XZ = 27 - 2x
d) VZ = 27 - 2x, XZ = 3x + 2

Answer 1

To find the values of VZ and XZ in the given parallelogram, we can use the fact that opposite sides of a parallelogram are equal in length. VZ is equal to XV and XZ is equal to VZ. Therefore, the values of VZ and XZ are VZ = 27 - 2x and XZ = 3x + 2 respectively.

Step-by-step explanation:

To find the values of VZ and XZ in the given parallelogram, we can use the fact that opposite sides of a parallelogram are equal in length.

Since XV is opposite to VZ, we have XV = VZ. Therefore, VZ = 27 - 2x.

Similarly, XZ is opposite to VZ, so XZ = VZ. Therefore, XZ = 3x + 2.

Therefore, the values of VZ and XZ are VZ = 27 - 2x and XZ = 3x + 2 respectively. So, the correct option is d) VZ = 27 - 2x, XZ = 3x + 2.