Question

What is the value of x?

Enter your answer in the box.

x =
Two intersection lines. Angle formed at the top is labeled 2 x plus 2 degrees. Angle formed at the bottom is labeled 3 x minus 52 degrees.

Answer 1

Diagram is in the attachment below

Answer 2

I've attached a diagram of what I think you've described.

If I am correct, these are vertical angles, which are congruent by definition. This means you can set the angles' expressions equal to each other to solve for x.

2x + 2 = 3x - 52
2x = 3x - 54
-x = -54
x = 54

You should always check your work. To check, plug 54 for x into the equation.

2x + 2 = 3x - 52
2(54) + 2 = 3(54) - 52
108 + 2 = 162 - 52
110 = 110

Answer:
x = 54