The Portuguese influence through the Treaty of Tordesillas led to the modern state of Brazil.
What is the Treaty of Tordesillas?
The consequences fo Treaty of Tordesillas was that the area called Latin America was divided up between Spain and Portugal.
The Spanish was given by far the greater part of this area while the treaty did allow Portugal to take control of what is now Brazil
Hence, the Portuguese influence led to the modern state of Brazil.
Therefore, the Option A is correct.
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