Answer: XVW=36
Step-by-step explanation:
The external angle of triangle is equal to the sum of the 2 opposite interior angles.
WXY is an external angle to the triangle and
XVW and VWX are the 2 opposite interior angles, thus
6x - 19 = +17+ 3x+2, that is
6x- 19 =4x +19 (Subtract 4x from both sides)
2x - 19 =19 (add 19 to both sides by 2)
x = 19
Hence
XVW = x + 17 = 19 + 17 = 36
