Hi there!
The two angles are alternate-interior angles, so:
∠A ≅ ∠B
6x + 18 = x + 93
Solve for x. Subtract x from both sides:
5x + 18 = 93
Subtract 18 from both sides:
5x = 75
Divide both sides by 5.
x = 75/5 = 15°
Now, solve for angle B by plugging in this value into the equation.
∠B = 15 + 93 = 108°