Question

what is the value of x?

Explanation:

Step1: Use the property of alternate exterior angles

Since \(4x + 1\) and \(2x+17\) are alternate exterior angles, they are equal. So, \(4x + 1=2x + 17\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(4x-2x + 1=2x-2x + 17\), which simplifies to \(2x+1 = 17\).
Subtract \(1\) from both sides: \(2x+1 - 1=17 - 1\), so \(2x=16\).
Divide both sides by \(2\): \(x=\frac{16}{2}\).

Answer:

\(8\)