Question

current skill
what is the value of x?

Explanation:

Step1: Identify Alternate Interior Angles

The angles \(3x + 2\) and \(x + 26\) are alternate interior angles, so they are equal. Thus, we set up the equation: \(3x + 2 = x + 26\).

Step2: Solve for \(x\)

Subtract \(x\) from both sides: \(3x - x + 2 = 26\) → \(2x + 2 = 26\).
Subtract 2 from both sides: \(2x = 26 - 2\) → \(2x = 24\).
Divide by 2: \(x = \frac{24}{2}\) → \(x = 12\).

Answer:

\(12\)