Question

solve for x.
(9x + 39)°
(11x + 61)°
x =

Explanation:

Step1: Identify angle - relationship

Since $\angle EKH$ and $\angle FLJ$ are corresponding angles and the lines are parallel, they are equal. So, $9x + 39=11x+61$.

Step2: Rearrange the equation

Subtract $9x$ from both sides: $39 = 11x-9x + 61$, which simplifies to $39=2x + 61$.

Step3: Solve for $x$

Subtract 61 from both sides: $39 - 61=2x$, so $- 22=2x$. Then divide both sides by 2: $x=\frac{-22}{2}=-11$.

Answer:

$x = - 11$