How do I find the x? Please and thank you!

x = 9

Step-by-step explanation:

The two opposite interior angles that are opposite to the exterior angle are congruent as shown in the diagram.

Therefore, based on the exterior angle theorem of a triangle, we have the following equation:

2(7x + 2)° = (17x - 23)

14x + 4 = 17x - 23

Collect like terms

14x - 17x = -4 - 23

-3x = -27

Divide both sides by -3

-3x/-3 = -27/-3

x = 9

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