Answer:
The Allies sought appeasement because Neville Chamberlain naively hoped that peace with the Nazis could be achieved (surprise, surprise, they would later be proved wrong).
Hope this helps. =)
Appeasement was popular for several reasons. Chamberlain -and the British people- were desperate to avoid the slaughter of another world war. Britain was overstretched policing its empire and could not afford major rearmament.
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