Question

1. angle bde is congruent to angle bac. name another pair of congruent angles. explain how you know. (from unit 1, lesson 20.)

Explanation:

Since \(\angle BDE\cong\angle BAC\), we can assume that line \(m\) is parallel to line \(l\) (by the converse of the corresponding angles postulate). If two parallel lines are cut by a transversal, then the corresponding angles are congruent. Here, \(\angle BED\) and \(\angle BCA\) are corresponding angles. So, \(\angle BED\cong\angle BCA\) because if two parallel lines are cut by a transversal, then the corresponding angles are congruent.

Answer:

Another pair of congruent angles is \(\angle BED\) and \(\angle BCA\).