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Verified Answer :

leeandrews2

There is 360 degrees in a parallelogram.
if you add all the interior angles they will = 360
l=n and m=o because it is a parallelogram so 

3x + 3x + (8x - 40) + 8x - 40)=360

22x-80=360

x=20

The value of x is 20°

How to determine the value of x

It is important to know that the sum of angles in a parallelogram = 360°

and parallel angles are equal so we have 3x + 3x + (8x -40)+  (8x -40)

So we have,

3x° + 3x° +  (8x -40)+  (8x -40) = 360°

Expand and collect like terms

6x° + 8x -40 + 8x - 40 = 360°

6x + 8x + 8x -40 - 40 = 360°

22x° - 80 = 360°

22x = 360 + 80

22x = 440

Make  'x' subject, we have

x = 440 / 22

x = 20°

Thus, the value of x is 20°

Learn more about a parallelogram here:

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