Question

geometry - unit 1 - parallel lines cut by solve each question as indicated. you must sh 1. what is the value of x in the figure below? (2x + 4)° 38°

Explanation:

Step1: Identify Alternate Interior Angles

The two angles \((2x + 4)^\circ\) and \(38^\circ\) are alternate interior angles because the lines are parallel (indicated by the arrows) and cut by a transversal. Alternate interior angles are equal. So we set up the equation:
\(2x + 4 = 38\)

Step2: Solve for \(x\)

Subtract 4 from both sides of the equation:
\(2x + 4 - 4 = 38 - 4\)
\(2x = 34\)

Divide both sides by 2:
\(\frac{2x}{2} = \frac{34}{2}\)
\(x = 17\)

Answer:

\(x = 17\)