Answer :

The value of x in the shape is 111

How to determine the value of x?

The shape is a heptagon

This is so because the shape has 7 sides

i.e. n = 7

The sum of angles in the shape is

Sum = 180(n - 2)

So, we have

Sum = 180(7 - 2)

Evaluate

Sum = 900

Also, the sum of angles in the shape is

Sum = x + 120 + 158 + 126 + 125 + 121 + 139

This gives

Sum = x + 789

So, we have

x + 789 = 900

Evaluate the like terms

x = 111

Hence, the value of x in the shape is 111

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