Question

solve for x.
g (6x + 28)°
b
c
f
h (12x - 8)°
d
a
e

Explanation:

Step1: Assume vertical - angle relationship

Since vertical angles are equal, we set up the equation $6x + 28=12x - 8$.

Step2: Isolate x - terms

Subtract $6x$ from both sides: $28 = 12x-6x - 8$, which simplifies to $28 = 6x - 8$.

Step3: Isolate the term with x

Add 8 to both sides: $28 + 8=6x$, so $36 = 6x$.

Step4: Solve for x

Divide both sides by 6: $x=\frac{36}{6}$.

Answer:

$x = 6$