Question

what is the value of x?

Explanation:

Step1: Assume vertical - angle relationship

If the two angles are vertical angles, they are equal. So we set up the equation $5x - 17=48$.

Step2: Solve the equation for x

Add 17 to both sides of the equation: $5x-17 + 17=48 + 17$, which simplifies to $5x=65$. Then divide both sides by 5: $x=\frac{65}{5}=13$.

Answer:

13