Question

How do I find the value of x

Answer 1

Answer:

The angles inside a hexagon add up to 720.

105 + 88 + 142 + 140 + 124 + x = 720

720 - (105 + 88 + 142 + 140 + 124)  = x

720 - 599 = x

x = 121

Answer 2

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