Angle 2 and 4 are vertical angles, which mean they are equal to each other.
Set the equations equal to each other, solve for x, then solve for angle 2.
4x-26 = 3x +4
Add 26 to both sides:
4x = 3x +30
Subtract 3x from both sides:
x = 30
Now replace x with 30 to solve for angle 2:
Angle 2 = 4x-26 = 4(30) -26 = 120 -26 = 94
Angle 2 = 94 degrees.
