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Solve for x in this figure.



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akposevictor

The value of x in the hexagon given in the image above is: 132°.

What is the Sum of an N-Sided Polygon?

The sum of all interior angles of an n-sided polygon = (n - 2)180, where n is the number of angles/sides of the polygon.

The polygon shown is a hexagon with six (6) interior angles. Find its sum.

Sum of the hexagon = (6 - 2)180

Sum of the hexagon = 720°

This means that if we add the measures of all the six interior angles of the given hexagon, we would get 720°.

Therefore:

x + 108 + 113 + 132 + 75 + 160 = 720

x + 588 = 720

x = 720 - 588

x = 132°

Thus, the value of x in the hexagon given in the image above is: 132°.

Learn more about the sum of hexagon on:

https://brainly.com/question/929457

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