Question

solve for x.
(8x + 9)°
51°
x =

Explanation:

Step1: Identify angle - relationship

Assume $\overleftrightarrow{OP}\parallel\overleftrightarrow{QR}$. The angle $(8x + 9)^{\circ}$ and the $51^{\circ}$ angle are corresponding angles. Corresponding angles formed by two parallel lines and a transversal 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:

$5.25$