Show that the triangles ABC and EDC are similar and find the values of x and y.

In $\triangle ABC$ and $\triangle EDC$:

• $\angle ACB = \angle ECD$ (Vertically opposite angles are equal).

In geometry problems with this configuration, it is standard to assume that the lines $AB$ and $DE$ are parallel unless stated otherwise, which allows us to use alternate interior angles.

• $\angle BAC = \angle DEC$ (Alternate interior angles, assuming $AB \parallel DE$).
• $\angle ABC =