Answer:
The value of x is 11
Step-by-step explanation:
The diagram for the question is shown below:
By definition, the exterior angle of a triangle is the sum of the opposite interior angle.
Using this definition, we have:
5x - 10 = (x + 14) + (x + 9)
5x - 10 = x + 14 + x + 9
5x - 10 = 2x + 23
5x - 2x = 23 + 10
3x = 33
Divide both sides by 3
x = 33/3
= 11