Answer:
x = 9
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