Question

solve for x.

x =

submit

Explanation:

Step1: Identify angle - relationship

The angles $(9x + 30)^{\circ}$ and $(12x)^{\circ}$ are vertical angles. Vertical angles are equal.
So, $9x+30 = 12x$.

Step2: Solve the equation for x

Subtract $9x$ from both sides of the equation:
$9x+30 - 9x=12x - 9x$.
This simplifies to $30 = 3x$.
Then divide both sides by 3: $\frac{30}{3}=\frac{3x}{3}$.

Answer:

$x = 10$