Answer:
x = 10
Step-by-step explanation:
With UW extended to point X, then
∠VWX is an external angle of the triangle.
The external angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
∠VWX = ∠WUV + ∠UVX ← substitute values
6x - 19 = 3x + 3 + x - 2, that is
6x - 19 = 4x + 1 (subtract 4x from both sides )
2x - 19 = 1 ( add 19 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
