Question

solve for x.

Explanation:

Step1: Identify angle - relationship

The angles $(3x - 10)^{\circ}$ and $110^{\circ}$ are corresponding angles. Since the two lines are parallel, corresponding angles are equal. So we set up the equation $3x-10 = 110$.

Step2: Solve the equation for x

Add 10 to both sides of the equation: $3x-10 + 10=110 + 10$, which simplifies to $3x=120$.

Step3: Isolate x

Divide both sides of the equation $3x = 120$ by 3: $\frac{3x}{3}=\frac{120}{3}$, so $x = 40$.

Answer:

$40$