Answer:
Abdul can use corresponding angles theorem to determine the rest congruent angles.
Step-by-step explanation:
From the given information the following map was traced which is attached below.
The angle between the elementary school, middle school, and his home i.e ∠C and the angle between his friend's house, the high school, and his home i.e ∠E are congruent.
[tex]\Rightarrow \angle C\cong\angle E[/tex]
As these two are corresponding angles and they are congruent, so
[tex]\Rightarrow DE\ ||\ BC[/tex]
Corresponding angles theorem states that if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Further, as DE is parallel to BC, so ∠B and ∠D will be congruent (corresponding angles).
i.e the angle between the middle school, elementary school, and his home will be congruent to the angle between the high school, his friend's house, and his home.
Therefore, Abdul can use corresponding angles theorem to determine the rest congruent angles.
