Question

find the value of x

Explanation:

Step1: Set up the equation

Since the two angles are vertical - angles and vertical - angles are equal, we have $3x=2x + 16$.

Step2: Solve the equation for x

Subtract $2x$ from both sides of the equation: $3x-2x=2x + 16-2x$.
$x = 16$.

Answer:

16