Question

In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD, while point E is the point of intersection between segment AG and segment DF.

Answer 1

Prove ΔABC ~ ΔGEF.

Answer 2

Here is the given figure.

Answer 3

Now let's add the given info.

Answer 4

Do you know how to prove triangles similar using only congruent angles?

Answer 5

AA triangle postulate?

Answer 6

@mathstudent55

Answer 7

Correct.
Using vertical angles, we can do exactly that.