Question

solve for the value of e.

Explanation:

Step1: Identify vertical - angle property

Vertical angles are equal. So, $9e - 8=6e + 25$.

Step2: Rearrange the equation

Subtract $6e$ from both sides: $9e-6e - 8=6e-6e + 25$, which simplifies to $3e-8 = 25$.

Step3: Isolate the variable term

Add 8 to both sides: $3e-8 + 8=25 + 8$, resulting in $3e=33$.

Step4: Solve for e

Divide both sides by 3: $\frac{3e}{3}=\frac{33}{3}$, so $e = 11$.

Answer:

$11$