Proof that the identities are equal to eachother

Hello, hope this will help:)

'Triangle ABC is similar to triangle EDC , because and

' is the correct option.

Step-by-step explanation:

Since, Here and  BD and AE are the  transversals which cut these two parallel lines

Thus according to the figure,( Because alternative interior angles made by the same transversal on two parallel lines are always equal)

Similarly,

Thus In triangles ABC and DCE,

And,  

thus If In two triangles two corresponding angles are equal, then they are similar to each other.

Therefore,