Question

solve for the value of e.

Explanation:

Step1: Set up the equation

Since the two angles are vertical angles and vertical angles are equal, we set up the equation $8e - 6=7e + 6$.

Step2: Isolate the variable

Subtract $7e$ from both sides of the equation: $(8e - 7e)-6=(7e - 7e)+ 6$. This simplifies to $e-6 = 6$.

Step3: Solve for e

Add 6 to both sides of the equation: $e-6 + 6=6 + 6$. So $e = 12$.

Answer:

$e = 12$