In the given problem we are given a pentagon.
A pentagon has 5 sides and 5 internal angles.
In order to find the required angle, we need to find the total sum of all angles of a a pentagon.
We know formula for the total sum of all angles of a a polygon is given by,
Angle sum = (n-2) *180, where n is the number of sides of the given polygon.
As we know, the given ploygon (pentagon) has 5 side, so the value of n=5.
Plugging n=5 in above formula.
(n-2)*180 = (5-2)*180.
Subtracting 5-2 first, we get 3.
Now, multiplying 3 * 180, we get 540.
So, the total sum of all angles of a Pentagon = 540°.
Given angles 131°, 108°, 107°, 110° and x.
Sum of all angles = 540
Adding angles,
131° + 108° + 107° + 110° + x = 540
456° + x = 540.
Subtractcing 456 from both sides,
456° + x - 456 = 540 - 456.
x=84°.
Therefore, required angle x=84°.
