The value of x is 30. This is determined by equating corresponding angles, where 3x + 12 and 102 are equal. Solving the equation results in x = 30. Thus option C is the appropriate choice.
The expression 3x + 12 represents an angle.
According to the information given, it can be seen that 3x + 12 and 102 are corresponding angles, making them equal.
Setting up the equation: 3x + 12 = 102.
To solve for x, subtract 12 from both sides, yielding 3x = 90.
Finally, divide both sides by 3, giving x = 30. Therefore, the correct answer for the value of x is 30, aligning with the provided options.
Option C is the correct choice.