Question

solve for x.

Explanation:

Step1: Identify angle - relationship

Since the two vertical lines are parallel, the angles $(6x + 11)^{\circ}$ and $77^{\circ}$ are corresponding angles and are equal. So we set up the equation $6x+11 = 77$.

Step2: Solve the equation for x

Subtract 11 from both sides of the equation: $6x=77 - 11$. So $6x=66$.

Step3: Isolate x

Divide both sides of the equation $6x = 66$ by 6. We get $x=\frac{66}{6}$.

Answer:

$x = 11$