Answer:
In this problem, the value of x is 54.
Step-by-step explanation:
First, you need to recognize what types of angles they are, and if there's a relationship between them. In this case, there is a relationship between them, as they are vertical angles. Recall that vertical angles are congruent. So as such, set the two equal to each other, forming an equation of 2x+2 = 3x-52. Solve for x from here by subtracting 2x from itself and from 3x. now you have x-52=2. Add 52 to -52 and 2, and get x=54, your answer.
