\( \left. \begin{array} { l l } { m \angle 1 = } & { m \angle 5 = } \\ { m \angle 2 = } & { m \angle 6 = } \\ { m \angle 3 = } & { m \angle 7 = } \\ { m \angle 4 = } & { m \angle 8 = } \end{array} \right. \)

In geometry, especially when dealing with parallel lines cut by a transversal, the relationships between angles are super important! For instance, corresponding angles are equal, alternate interior angles are also equal, and consecutive interior angles are supplementary. This means that if you know the measure of one angle, you can easily find the measures of others based on these relationships. If you find yourself needing to solve angle problems frequently, here’s a tip: draw a diagram! Visualizing the problem can help you see which angles are corresponding, alternate, or complementary, making calculations much simpler. Plus, don’t forget to check for common mistakes like forgetting to classify angles correctly or overlooking the fact that two angles might be supplementary. Happy angle solving!