The value of x is 18.
As shown in the figure, the polygon is of 5 sides. In a 5-sided polygon, the sum of all the interior angles of a regular pentagon is 540°.
Hence,
95+90+(7x-4)+(3x+23)+(9x-6)=540
185+19x+13=540
19x=540-185-13
19x=342
x=342/19
x=18
Therefore, the value of x is 18.