Question

solve for x.
(6x + 12)°
(10x - 8)°
x =

Explanation:

Step1: Identify angle - relationship

The angles $(6x + 12)^{\circ}$ and $(10x - 8)^{\circ}$ are corresponding angles. Corresponding angles formed by a transversal intersecting two parallel lines are equal. So, $6x+12 = 10x - 8$.

Step2: Rearrange the equation

Subtract $6x$ from both sides: $12=10x - 6x-8$. Simplify to get $12 = 4x-8$.

Step3: Solve for x

Add 8 to both sides: $12 + 8=4x$, so $20 = 4x$. Then divide both sides by 4: $x=\frac{20}{4}=5$.

Answer:

$5$