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find the value of $x$.

Question

find the value of $x$.

Explanation:

Step1: Identify angle - relationship

The two angles are corresponding angles, so they are equal.
$6x - 11=155$

Step2: Solve for x

Add 11 to both sides:
$6x=155 + 11$
$6x=166$
Divide both sides by 6:
$x=\frac{166}{6}=\frac{83}{3}$

Answer:

$x = \frac{83}{3}$