According to the meaning of the question, the degree of each inner angle is increased by 5 degrees, then we can get the final (that is, the largest) inner angle as follows.
120+5(n- 1), and then according to the angle ratio given by the condition, the equation can be listed as: (n-2) *180: [120+5 (n-1)].
You can find n=9!
So it's nine transformations.