The value of the interior angle x in the polygon with seven sides shown in the image above is 111 degrees.
What is a polygon?
A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.
The formula for calculating the sum of interior angles of a polygon is;
S = ( n − 2 ) × 180°
Where n is the number of sides.
Given that the polygon is the diagram has 7 sides, n = 7
Hence
the sum of interior angles of the polygon is;
S = ( n − 2 ) × 180°
S = ( 7 − 2 ) × 180°
S = 5 × 180°
S = 900°
Now, we add the total interior angles in the given polygon and equate to the sum of interior angles of a polygon with 7 sides.
139° + 121° + 125° + 126° + 158° + 120° + x = 900°
789° + x° = 900°
x = 900° - 789°
x = 111°
Therefore, the value of the interior angle x in the polygon with seven sides shown in the image above is 111 degrees.
Learn more about polygons here: https://brainly.com/question/22408868
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