How are Philip II and Alexander the Great connected to ancient Macedonia?

Philip II and Alexander the Great were kings of the ancient kingdom of Macedonia, a state centered in the northeastern corner of the Greek peninsula.1

• Philip II (reigned 359–336 BCE): As the 18th king of Macedonia, Philip II restored internal order and transformed his kingdom into a dominant power in Greece through military and diplomatic success. His achievements laid the essential foundations for the subsequent expansion of the Macedonian empire.21
• Alexander the Great (reigned 336–323 BCE): The son of Philip II, Alexander III succeeded his father and significantly expanded Macedonian dominion by overthrowing the Achaemenid Empire. His conquests reached as far as the Nile and Indus rivers, establishing a vast empire that ushered in the Hellenistic Age.134

While these figures are central to the history of the ancient kingdom, modern claims linking them to the contemporary Republic of North Macedonia have been a source of significant international dispute, leading to the Prespa Agreement to clarify historical and cultural distinctions.5