Answer: 40°
Explanation:
This is a hexagonal polygon. Polygons consists of two types of angles, whether regular or irregular. They consists of an internal and external angles.
The internal angle of any polygon is calculated using this formula
i, (2n - 4 )right angled or ( 2n - 4 ) x 90°
ii ( n - 2 )complementary angle or ( n - 2 ) x 180°
The external angle of any polygon equals 360°
The diagram above indicates the exterior or external angle of a polygon.
To get the value of x, we add all the values and equate to 360°
2x + x + 10 + 2x + x + 10 + x + 16 + x + 4 = 360
8x + 40 = 360
8x = 360 - 40
8x = 320
Therefore x = 40°