Please correct me if I'm wrong. Thank you.

Ambiguous identities in "The Metamorphosis" would be Gregor being a human and a giant insect or having the body of an insect but the mind of a human? And in "A Very Old Man with Enormous Wings" would it be the old man maybe being an angel or just a human who happen to have wings?

The trick the question is the word ambiguous. We don't know. Is Kafka saying that Gregor actually turned into a real cockroach? or is he using this symbolically? Does the old man really have wings or the wings being used symbolically? What are the authors using these physical anomalies to tell the reader?

Your understanding of the ambiguous identities in "The Metamorphosis" and "A Very Old Man with Enormous Wings" is correct!

In "The Metamorphosis" by Franz Kafka, Gregor Samsa transforms into a giant insect. This transformation blurs his identity, as he retains some human characteristics such as his thoughts and emotions, but takes on the physical form of an insect. The ambiguity lies in whether Gregor's essential identity is that of a human trapped in an insect's body or if he has truly become an insect while still maintaining human mental capacity.

In "A Very Old Man with Enormous Wings" by Gabriel Garcia Marquez, the identity of the old man with wings is also ambiguous. The story presents the possibility that the old man is an angel due to his appearance and supernatural abilities. However, the townspeople's skepticism and their treatment of him as an ordinary human with wings create uncertainty. The story intentionally leaves the true nature of the old man's identity open to interpretation.

To confirm these interpretations or explore other viewpoints, it is recommended to delve deeper into the texts. By analyzing the authors' intentions, the characters' actions and motivations, and the literary devices employed, you can develop a more nuanced understanding of these complex identities within the stories. Additionally, engaging in discussions with others who have read the texts or consulting critical analyses can provide further insights.