Question

based on the given angles below, are the lines c and d parallel? why or why not? show your work here

Explanation:

Step1: Recall parallel - line angle criteria

If two lines are parallel, corresponding angles are equal, alternate - interior angles are equal, and same - side interior angles are supplementary.

Step2: Analyze the given angles

The given angles are neither corresponding, alternate - interior, nor same - side interior angles. But if the lines were parallel, corresponding angles would be equal. Here, the angles given are \(127^{\circ}\) and \(129^{\circ}\), and \(127^{\circ}
eq129^{\circ}\).

Answer:

No, the lines \(C\) and \(D\) are not parallel because corresponding angles (if the lines were parallel) would be equal, and the given non - corresponding angles are not equal, which implies the lines are not parallel.