Respuesta :

Answer:

The value of x is 11

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

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