Question

find the value of x. l || m. the diagram is not to scale. 148 64 32 116

Explanation:

Step1: Use corresponding - angles property

Since \(l\parallel m\), the angle with measure \(2x\) and the angle with measure \(64^{\circ}\) are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are equal. So, \(2x = 64^{\circ}\).

Step2: Solve for \(x\)

Divide both sides of the equation \(2x=64^{\circ}\) by 2. We get \(x=\frac{64}{2}\).

Answer:

\(x = 32\), so the correct option is C. 32