Answer:
B.) 74°
Step-by-step explanation:
∠WVX + ∠VXY + ∠XYW + ∠YWV = 360°
Substituting their values, we have:
90° + (12x + 2)° + 90° + (18x -2)° = 360°
Perform addition and subtraction
90 + 12x + 2 +90 + 18x -2 = 360
30x + 180 = 360
Transpose 180 to the right side such as:
30x = 360 -180
30x = 180
Solve for x, we have:
x = 180 / 30
x = 6
Solving for the angle VXY, we have:
∠VXY = 12X + 2 = 12(6) + 2
∠VXY = 74°