Answer:
Therefore the value of 'x' is 7.
Step-by-step explanation:
Given:
[] ABCD is a Parallelogram
AB = 4x+ 7
BC = 8x - 12
CD = 7x - 14
To Find:
x = ?
Solution:
[] ABCD is a Parallelogram ..............Given:
Opposite sides of a Parallelogram are Equal
side AB and CD are the opposite sides of the parallelogram.
∴ AB = CD
On substituting the values we get
[tex]4x+7=7x-14\\\\7x-4x=7+14\\\\3x=21\\\\x=\dfrac{21}{3} =7\\\\\therefore x =7[/tex]
Therefore the value of 'x' is 7.