Question

find the value of x.
58°
(8x - 6)°
x =

Explanation:

Step1: Identify vertical - angles

Vertical angles are equal. The angle measuring $58^{\circ}$ and the angle measuring $(8x - 6)^{\circ}$ are vertical angles.
So, $8x-6 = 58$.

Step2: Solve the equation for x

Add 6 to both sides of the equation: $8x-6 + 6=58 + 6$, which simplifies to $8x=64$.
Then divide both sides by 8: $\frac{8x}{8}=\frac{64}{8}$, so $x = 8$.

Answer:

$8$