Final answer:
The Fifth Amendment is the amendment that makes up the Miranda rights, which include the right to remain silent and the right to an attorney, established by the Miranda v. Arizona (1965) case.
Step-by-step explanation:
The amendment that makes up what are commonly known as Miranda rights is the Fifth Amendment. This amendment secures various procedural safeguards, including the protection of suspects' right to remain silent which is a key component of Miranda rights. In the landmark case of Miranda v. Arizona (1965), the U.S. Supreme Court held that the Fifth Amendment requires that law enforcement officials advise suspects of their right to remain silent and to obtain an attorney during interrogations while in police custody.