The value of the unknown fourth interior angle of the polygon is 114 degrees.
Hence option B)114° is the correct answer.
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 4 sides, n = 4
Hence
the sum of interior angles of the polygon is;
S = ( n − 2 ) × 180°
S = ( 4 − 2 ) × 180°
S = 2 × 180°
S = 360°
Now, we add the total interior angles in the given polygon and equate to the sum of interior angles of a polygon with 4 sides.
82° + 51° + 113° + x = 360°
246° + x° = 360°
x = 360° - 246°
x = 114°
The value of the unknown fourth interior angle of the polygon is 114 degrees.
Hence option B)114° is the correct answer.
Learn more about polygons here: brainly.com/question/22408868
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