Question

what is the value of x?

Explanation:

Step1: Identify Alternate Exterior Angles

The angles \(62^\circ\) and \(4x + 2\) are alternate exterior angles, so they are equal.

Step2: Set Up the Equation

Set \(4x + 2 = 62\).

Step3: Solve for \(x\)

Subtract 2 from both sides: \(4x = 62 - 2 = 60\).
Divide by 4: \(x = \frac{60}{4} = 15\).

Answer:

\(15\)