Answer is 17 degrees
Angle 2 and 4 are vertical angles that are congruent so they are equal
Equation
6x + 8 = 4x + 11
Solve for x
Subtract 4x from both sides to isolate variables
6x - 4x + 8 = 4x - 4x + 11
2x + 8 = 11
Now subtract 8 from both sides to combine the constants
2x + 8 - 8 = 11 - 8
2x = 3
Divide both sides by 2 to solve for x
2/2 x = 3/2
x = 3/2
Now let’s solve for angle 2 by substituting 3/2 for x in the equation
(6)(3/2) + 8
18/2 + 8
9 + 8
Angle 2 is 17 degrees
We can also check angle 4
(4)(3/2) + 11
12/2 + 11
6 + 11
Angle 4 = 17 degrees
They are the same, problem solved!