What is the value of x? enter your answer in the box

They are vertical angles, and so they will equal the same degrees

set the two equal to another

2x + 2 = 3x - 52

Move all numbers with variables to one side, and all constant to the other

2x (-3x) + 2 (-2) = 3x (-3x) - 52 (-2)

2x - 3x = - 52 - 2

-x = -54

isolate the x, divide -1 from both sides

-x/-1 = -54/-1

x = -54/-1

x = 54

x = 54°

hope this helps