Question

what is the value of x?

Explanation:

Step1: Identify Vertical Angles

Angles \(5x + 1\) and \(66^\circ\) are vertical angles (opposite angles formed by intersecting lines), so they are equal. Thus, \(5x + 1 = 66\).

Step2: Solve for \(x\)

Subtract 1 from both sides: \(5x = 66 - 1 = 65\).
Divide by 5: \(x = \frac{65}{5} = 13\).

Answer:

13