Answer:
The value of the missing angle, x° is 115°
Step-by-step explanation:
The sum of the interior angles in a polygon is given by the formula (n - 2)×180, where, 'n', is the number of sides in the polygon
The number of sides in the given polygon, n = 10 sides
Therefore;
The sum of the interior angles in the polygon is (10 - 2)×180 = 1440°
The given angles of the polygon are;
107°, 126°, 325°, 125°, 95°, x°, 90°, 280°, 47°, and 130°
Therefore, we have;
107° + 126° + 325° + 125° + 95° + x° + 90° + 280° + 47° + 130° = 1440°
x° = 1440° - (107° + 126° + 325° + 125° + 95° + 90° + 280° + 47° + 130°) = 115°
The value of the missing angle, x° = 115°.
