Question

find the value of x.

Explanation:

Step1: Identify angle - relationship

The two angles are corresponding angles. For parallel lines, corresponding angles are equal. So, $9x + 3=114$.

Step2: Solve the equation for \(x\)

Subtract 3 from both sides: $9x=114 - 3$.
$9x=111$.
Then divide both sides by 9: $x=\frac{111}{9}=\frac{37}{3}$.

Answer:

$x = \frac{37}{3}$