Question

solve for x.

Explanation:

Step1: Identify angle - relationship

The angles $(2x - 5)^{\circ}$ and $105^{\circ}$ are vertical angles. Vertical angles are equal.
So, $2x-5 = 105$.

Step2: Solve the equation for x

Add 5 to both sides of the equation: $2x-5 + 5=105 + 5$, which simplifies to $2x=110$.
Then divide both sides by 2: $\frac{2x}{2}=\frac{110}{2}$, so $x = 55$.

Answer:

$55$