The pair of congruent alternate exterior angles can be identified based on the given information that line JD is parallel to line IE. When two parallel lines are intersected by a transversal, alternate exterior angles are formed on opposite sides of the transversal and are congruent.
The correct answer is option D
The pair of congruent alternate exterior angles can be identified based on the given information that line JD is parallel to line IE. When two parallel lines are intersected by a transversal, alternate exterior angles are formed on opposite sides of the transversal and are congruent.
In this case, lines JD and IE are parallel, and the transversal would be any line intersecting these parallel lines. Let's consider line CD as a transversal in this scenario.
A. ∠CLD and ∠JKH: These angles are not alternate exterior angles, so they are not congruent.
B. ∠JKH and ∠BNE: These angles are not alternate exterior angles, so they are not congruent.
C. ∠BKD and ∠INH: These angles are alternate exterior angles, but without further information, we cannot determine their congruence.
D. ∠DKH and ∠ENH: These angles are alternate exterior angles, and based on the given information that JD║IE, we can conclude that these angles are congruent.
Therefore, the correct option is D, with ∠DKH and ∠ENH representing a pair of congruent alternate exterior angles given the parallel lines JD and IE.