Question

solve for x.
(4x + 54)°
(126 - 2x)°

Explanation:

Step1: Identify angle - relationship

Since the angles $(4x + 54)^{\circ}$ and $(126-2x)^{\circ}$ are vertical angles, they are equal. So we set up the equation $4x + 54=126 - 2x$.

Step2: Add $2x$ to both sides

$4x+2x + 54=126-2x + 2x$, which simplifies to $6x+54 = 126$.

Step3: Subtract 54 from both sides

$6x+54 - 54=126 - 54$, resulting in $6x=72$.

Step4: Divide both sides by 6

$\frac{6x}{6}=\frac{72}{6}$, so $x = 12$.

Answer:

$12$