Answer:
x = 10°
Explanation:
Since, the exterior angle of a triangle is equal to the sum of the two interior angles that are opposite it. This is known as the exterior angle theorem.
By using this, we can say that:
(12x -4)° = (6x+4)° + (5x + 2)°
Combine the like terms on the right side of the equation:
(12x -4)° = 11x + 6°
Subtract 11x from both sides of the equation:
(12x -4)° - (11x) = (11x + 6°) - (11x)
x -4° = 6°
Add 4° to both sides of the equation:
x -4° + (4°) = 6° + (4°)
x = 10°
Therefore, the value of x is 10°.