Y and Z are vertical angles

Y = (2X + 7)

Z = (4X - 17)

value of x

Vertical angles are equal to each other, so to solve this, you can set the angle measures equal to each other and solve for x.

Z = Y Replace X and Y with their values

4x - 17 = 2x + 7 Isolate the value. Start by adding 17 to both sides

4x = 2x + 24 Subtract 2x from both sides

2x = 24 Divide both sides by 2

x = 12