Question

1. solve for x. (3x + 6)° (4x - 2)°

Explanation:

Step1: Set up the equation

Since the two angles $(3x + 6)^{\circ}$ and $(4x-2)^{\circ}$ are vertical - angles and vertical angles are equal, we set up the equation $3x + 6=4x - 2$.

Step2: Isolate the variable x

Subtract $3x$ from both sides of the equation: $3x+6-3x=4x - 2-3x$. This simplifies to $6=x - 2$.

Step3: Solve for x

Add 2 to both sides of the equation: $6 + 2=x-2 + 2$. So, $x = 8$.

Answer:

$x = 8$