Question

Find the value of x for which ABCD must be a parallelogram.

Answer 1

`x=9`

Explanation:

As a parallelogram has opposite sides parallel and equal.

Therefore, BC=AD

`BC=16x-15`

`AD=30+11x`

`16x-15=30+11x`

Subtracting 11x both sides

`16x-11x-15=30\\\\5x-15=30`

Adding '15' both sides:

`5x=45`

Dividing by '5' both sides:

`x=45/5\\\\x=9`

The value of 'x' is '9'