Question

X =
117
124
107
102
145
Hint: Sum = (n-2)180
Enter

Answer 1

x = 125°

Explanation:

The given polygon is a hexagon with 6 sides.

The sum of the interior angles for any given polygon = (n - 2)180, where n is the number of sides of the polygon.

Therefore:

`x + 117 + 124 + 102 + 145 + 107 = (6 - 2)180`

`x + 595 = (4)180`

`x + 595 = 720`

Subtract both sides by 595 to solve for x:

`x + 595 - 595 = 720 - 595`

`x = 125`

x = 125°