Answer:
x = 11
Step-by-step explanation:
If there are two tangent lines to a circle, departing from the same point, the tangent lines have the same length.
So, as FB and HB are tangent lines to the circle, and both depart from point B, we have that FB = HB.
In the same way, we have that FA = AJ and JC = CH.
If the perimeter of the triangle is 106, we have that:
FB + FA + AJ + JC + CH + HB = 106
x + 5 + 15 + 15 + 2x + 2x + x + 5 = 106
6x + 40 = 106
6x = 66
x = 11
