Based on the calculations, the value of x for this regular polygon with the given interior angle is equal to 3.
What is a polygon?
A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:
Note: The number of sides (n) of a hexagon is 6.
In Geometry, the sum of the interior angles of both a regular and irregular polygon is given by this formula:
Sum of interior angles = 180 × (n - 2)
Sum of interior angles = 180 × (6 - 2)
Sum of interior angles = 180 × 4
Sum of interior angles = 720°.
Next, we would determine the value of x by using this formula:
Interior angle × Number of sides = Sum of interior angles
Substituting the parameters into the formula, we have;
(-134x + 516 + 2x) × 6 = 720
-134x + 516 + 2x = 720/6
-134x + 516 + 2x = 120
516 - 120 = 134x - 2x
396 = 132x
x = 396/132
x = 3.
Read more on polygon here: brainly.com/question/16691874
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