Question

Enter the range of values for x: AB=AD

Answer 1

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