Question

problem 12: (first taught in lesson 23) given that (overline{ed}paralleloverline{ab}), select which type of angle pair (angle e) and (angle b) are and then tell whether the angles are congruent or supplementary. a b c d e adjacent angles; supplementary

Explanation:

Step1: Identify angle - pair type

Since $\overline{ED}\parallel\overline{AB}$, $\angle E$ and $\angle B$ are alternate - interior angles formed by the transversal $\overline{EB}$ intersecting the parallel lines $\overline{ED}$ and $\overline{AB}$.

Step2: Determine angle relationship

According to the properties of parallel lines, alternate - interior angles are congruent. So $\angle E\cong\angle B$.

Answer:

They are alternate - interior angles; congruent