Figure LMNO is a parallelogram.
What is the value of x?
8
10
13
20

The value of x is 20°
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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