Identify the correct explanation for why △ABC and △DEC are similar, and find EC. options:
A. As shown, AB∥ED. ∠B≅∠E by the Alt. Int. ∠s Thm., and similarly, ∠A≅∠D. By the Vert. ∠s Thm., ∠ACB≅∠DCE. Therefore, △ABC∼△DEC by AA∼. The measure of EC is 32.

B. As shown, AB∥ED. ∠B≅∠E by the Alt. Int. ∠s Thm., and similarly, ∠A≅∠D. By the Corr. ∠s Post., ∠ACB≅∠DCE. Therefore, △ABC∼△DEC by SAS∼. The measure of EC is 36.

C. As shown, AB∥ED. ∠B≅∠E by the Corr. ∠s Post., and similarly, ∠A≅∠D. By the Vert. ∠s Thm., ∠ACB≅∠DCE. Therefore, △ABC∼△DEC by SAS∼. The measure of EC is 32.

D. As shown, AB∥ED. ∠B≅∠E by the Alt. Int. ∠s Thm., and similarly, ∠A≅∠D. By the Vert. ∠s Thm., ∠ACB≅∠DCE. Therefore, △ABC∼△DEC by AA∼. The measure of EC is 36.