Answer: x = 121 degrees
Step-by-step explanation:
The sum of the angles in a polygon is expressed as
180(n - 2)
Where
n represents the number of sides of the polygon.
The given polygon is a hexagon. It has 6 sides. Therefore, n = 6
It means that the sum of the angles in the hexagon would be
180(6- 2) = 180 × 4 = 720 degrees
Therefore,
105 + 142 + 140 + 124 + 88 + x = 720
599 + x = 720
x = 720 - 599 = 121 degrees
