Similar Triangles Formed by Diagonals of Quadrilateral in Circle

[seeker101]

Is it true that the diagonals of a quadrilateral inscribed in a circle split the quadrilateral into two sets of similar triangles? Is yes, how do we prove this?

 

[seeker101]

I have managed to find the answer to my own question. Thank you!

(If anyone cares, the answer is yes. The proof is straightforward once you know the properties of inscribed angles.)