Answer:
∠ WXY = 20°
Explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ XYZ is an exterior angle of the triangle, thus
10x - 5 = 3x + 17 + 3x + 2
10x - 5 = 6x + 19 ( subtract 6x from both sides )
4x - 5 = 19 ( add 5 to both sides )
4x = 24 ( divide both sides by 4 )
x = 6
Thus
∠ WXY = 3x + 2 = 3(6) + 2 = 18 + 2 = 20°