Question

in the diagram below, $overleftrightarrow{ab}$ is parallel to $overleftrightarrow{cd}$. what is the value of $x$? a. 30 b. 135 c. 45 d. 60

Explanation:

Step1: Identify angle - relationship

When two parallel lines are cut by a transversal, corresponding angles are equal. Here, angle \(x\) and the \(45^{\circ}\) angle are corresponding angles.

Step2: Determine the value of \(x\)

Since corresponding angles are equal, \(x = 45^{\circ}\).

Answer:

C. 45