Answer:
6 < x < 30
Explanation:
The angle of the side AB = 48 degrees
the angle of the side AD = 2x - 12 degrees
If the angle AD is greater than zero;
2x -12 > 0
= 2x > 12
= x > 12/ 2
= x > 6
if the maximum angle of AD is equal to angle AB, then;
= 2x -12 = 48
2x = 48 + 12
2x/ 2 = 60 / 2
x = 30
Therefore, the range of x is; 6 < x < 30