Question

based on the given angles below, are the lines a and b parallel? why or why not?

Explanation:

Step1: Recall parallel - line angle rules

For two parallel lines cut by a transversal, corresponding angles are equal, alternate - interior angles are equal, and same - side interior angles are supplementary.

Step2: Analyze the given angles

The given angles $125^{\circ}$ and $122^{\circ}$ are neither corresponding, alternate - interior, nor same - side interior angles. Also, they are not equal and do not add up to $180^{\circ}$.

Answer:

No, the lines $A$ and $B$ are not parallel because the given angles do not satisfy the angle - relationships (equality or supplementary) required for parallel lines.