Given the figure with ∠𝐶𝐷𝐸 ≅ ∠A and L ⊥ line 𝐴𝐵 Prove that L ⊥ line 𝐷𝐸

Question

Answer 1

DE and AB are parallel because corresponding angles are equal.

Since AB is perpendicular to AB, it is also perpendicular to DE (a line perpendicular to one of 2 parallel lines is perpendicular to the other also).