Answer:
x = 15
Step-by-step explanation:
The sum of the internal angles of a regular polygon with n sides is:
(n - 2)(180°)
We can see that the given regular polygon has 8 sides. Therefore, n = 8, and it has:
(8 - 2)(180°)
= 6(180°)
= 1080°
as the sum of its interior angles.
Because it has 8 sides, it also has 8 interior angles, each of which is 9x. Therefore, we can write the sum of its interior angles as:
8(9x)° = 1080°
72x = 1080
x = 15
