Question

solve for x.
(6x + 11)°
77°
x =

Explanation:

Step1: Identify angle - relationship

The angles $(6x + 11)^{\circ}$ and $77^{\circ}$ are corresponding angles. Corresponding angles formed by parallel lines 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: $6x=77 - 11$.
$6x=66$.
Then divide both sides by 6: $x=\frac{66}{6}$.

Answer:

$11$