Question

solve for x.

Explanation:

Step1: Identify angle - relationship

The angles $(8x + 9)^{\circ}$ and $51^{\circ}$ are corresponding angles. Corresponding angles formed by a transversal intersecting two parallel lines are equal. So, $8x+9 = 51$.

Step2: Solve the equation for x

Subtract 9 from both sides of the equation: $8x=51 - 9$.
$8x=42$.
Then divide both sides by 8: $x=\frac{42}{8}=\frac{21}{4}=5.25$.

Answer:

$x = 5.25$