dy.com/student/dashboard/home i-Ready (1) The figure shows a transversal that intersects two parallel lines. None of the angles are right angles (4)) Complete the sentence. \( \angle 4 \) and \( \angle 8 \) are corresponding angles. What are all the angles in the figure that are congruent to \( \angle 2 \) ? \( \angle 1, \angle 7, \angle 8 \) \( \angle 3, \angle 5, \angle 8 \) \( \angle 3, \angle 6, \angle 7 \) \( \angle 4, \angle 6, \angle 8 \)

When two parallel lines are crossed by a transversal, several angle relationships arise due to their positions. In this scenario, we know that corresponding angles are congruent. This means that each angle will have a "match" on the other line that is equal in measure. Specifically, \( \angle 2 \) has corresponding angles at positions \( \angle 6 \) and \( \angle 8 \), making these angles congruent to \( \angle 2 \). In addition to corresponding angles, vertical angles are also congruent when two lines intersect. So, if you identify another angle created by the intersection of the transversal and a line, like \( \angle 4 \) for \( \angle 2 \), and its opposite complementary angle, congratulations! You've just uncovered yet another congruent pair. Exploring the relationships of angles in this way not only aids in solving problems but also gives you a deeper understanding of geometric principles. Happy angle hunting!