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

Question

asked Nov 14, 2021 114k views

1 Answer

Didymos · Answer 1 · 2021-11-21T04:02:10+0000

Answer:

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'