Question

solve for x.
(7x - 3)°
81°
x =

Explanation:

Step1: Identify angle - relationship

Assume lines $DE$ and $FG$ are parallel. $\angle BHE$ and $\angle FIC$ are corresponding angles. Corresponding angles are equal when two lines are parallel. So, $7x - 3=81$.

Step2: Solve the equation for x

Add 3 to both sides of the equation: $7x-3 + 3=81 + 3$, which simplifies to $7x=84$.

Step3: Isolate x

Divide both sides of the equation $7x = 84$ by 7: $x=\frac{84}{7}$.

Answer:

$x = 12$