Question

In the figure, AB¯¯¯¯¯ is parallel to ​ DE¯¯¯¯¯ ​.

Answer 1

The answer is A. Similar

Answer 2

Answer:

(A) Similar triangles

Step-by-step explanation:

It is given that AB is parallel to DE, therefore ∠CAB=∠DEC=65°(Alternate angles),

Then from ΔACB and ΔDCE, we have

∠CAB=∠DEC=65°(Alternate angles)

and ∠ACB=∠DCE=50°(Vertically opposite angles)

Thus, by AA similarity, ΔACB is similar to ΔDCE.

Hence, option A that is similar triangles is correct.