Question

solve for x.

x =

Explanation:

Step1: Identify vertical - angle property

Vertical angles are equal. Here, the angle measuring $102^{\circ}$ and the angle measuring $(10x - 2)^{\circ}$ are vertical angles.
So, $10x-2 = 102$.

Step2: Solve the equation for x

Add 2 to both sides of the equation: $10x-2 + 2=102 + 2$, which simplifies to $10x=104$.
Then divide both sides by 10: $x=\frac{104}{10}=10.4$.

Answer:

$10.4$