Question

5. Find the value of x for which ABCD must be a parallelogram.AB-9 - 6xX-30DC

Answer 1

Given:

We're a given figure ABCD

∠ADB = x - 30

∠DBC = -9 - 6x

To find:

The value of x for which ABCD must be a parallelogram.

Step-by-step solution:

For ABCD to be a parallelogram, Its Alternate angles (Z - angles) must be equal.

Thus,

∠ADB = ∠DBC

x - 30 = -9 - 6x

7x = 21

x = 3

Final answer:

For ABCD to be a parallelogram, The value of x should be equal to 3.