Final answer:
The Allied powers declared war on Germany in 1939 when German troops invaded Poland.
Step-by-step explanation:
The event that caused the Allied powers to declare war on Germany in 1939 was when German troops invaded Poland.
This invasion by Germany, known as the invasion of Poland, marked the beginning of World War II.
The Allied powers, including countries such as the United Kingdom and France, had pledged to come to Poland's defense if it faced aggression, and they followed through on their promise by declaring war on Germany.
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