<h3>
<u><em>We need to solve for the angle VXY and it is equivalent to (18x - 2)°. We all know that the total angle of the given figure is 106°, so by adding the angles of the four sides, we can solve for the value of x. The solution is shown below:</em></u></h3>
<em>∠WVX + ∠VXY + ∠XYW + ∠YWV = 360°</em>
<em>Substituting their values, we have:</em>
<em>90° + (12x + 2)° + 90° + (18x -2)° = 360°</em>
<em>Perform addition and subtraction</em>
<em>90 + 12x + 2 +90 + 18x -2 = 360</em>
<em>30x + 180 = 360</em>
<em>Transpose 180 to the right side such as:</em>
<em>30x = 360 -180</em>
<em>30x = 180</em>
<em>Solve for x, we have:</em>
<em>x = 180 / 30</em>
<em>x = 6</em>
<em>Solving for the angle VXY, we have:</em>
<em>∠VXY = 12X + 2 = 12(6) + 2</em>
<em>∠VXY = 74°</em>
<em>The answer is 74°.</em>
