Question

solve for x.

x =

Explanation:

Step1: Identify angle - relationship

The angles $(12x)^{\circ}$ and $(7x - 10)^{\circ}$ are vertical angles. Vertical angles are equal. So we set up the equation $12x=7x - 10$.

Step2: Solve the equation for x

Subtract $7x$ from both sides: $12x-7x=7x - 10-7x$. This simplifies to $5x=- 10$.

Step3: Isolate x

Divide both sides by 5: $\frac{5x}{5}=\frac{-10}{5}$. So $x = - 2$.

Answer:

$x=-2$