An angle bisector divides an angle into equal parts.
The value of x is 7
The given parameters are:
[tex]\angle BAE = 9x + 2[/tex]
[tex]\angle BAD = 130^o[/tex]
Line AE is the angle bisector of [tex]\angle BAD[/tex]
This means that:
[tex]\angle BAD = 2 \times \angle BAE[/tex]
So, we have:
[tex]130 = 2 \times (9x + 2)[/tex]
Divide both sides by 2
[tex]65 = 9x + 2[/tex]
Subtract 2 from both sides
[tex]63 = 9x[/tex]
Divide both sides by 9
[tex]7 = x[/tex]
Rewrite as:
[tex]x = 7[/tex]
Hence, the value of x is 7
Read more about angle bisectors at:
https://brainly.com/question/12896755
