Answer:For the given figure the value of x is 14
Explanation:
Given a regular polygon
A regular polygon is a polygon which has all sides equal and each side subtends equal interior angle at the center.
According to the figure
We are given a regular polygon with 10 sides
The angle subtended at the center is given as
(10x + 4)°
The Sum of interior angles = ( 10-2) = 1440°
So the angle subtended by one side at the center is given as follows
1440°/ 10 = 144°
Since the angle subtended at the center = 144° = (10x + 4)°
so by solving this we can get
140 = 10x
x = 14